Both coach Juan Antonio Pizzi and striker Paco Alcacer hailed Valencia's fans for instigating their astonishing comeback against Basel.
Valencia triumphed 5-3 on aggregate to reach the UEFA Europa League semi-finals with Alcacer scoring a hat-trick for the home side.
The Spanish club recovered from a 3-0 first leg defeat in Switzerland, with Alcacer first two goals, plus a header from Eduardo Vargas, sending the match into extra time.
Basel pair Gaston Sauro and Marcelo Diaz both saw red before Alcacer put Valencia in front with seven minutes remaining in extra time. Juan Bernat then capped off the hosts' impressive performance in the 118th minute.
Pizzi thanked Valencia's supporters after the match for inspiring his players to produce their best.
"The atmosphere was crucial," Valencia's coach said.
"When one feels the atmosphere since stepping off the bus, it brings out the qualities of the players.
"That level of support is indispensible in these types of matches."
Alcacer dedicated the win to Valencia's fans, while he also paid tribute to Oscar Martinez, a local young footballer, who died of a heart attack.
"The fans have been with us right to the end. These fans are always there, through the good and the bad," the 20-year-old striker said.
"We would like to dedicate this win to them and most of all, Oscar Martinez, the youngster from Ontinyent, who is always in our minds."
Alcacer kick-started Valencia's comeback with a sharp finish from Joao Pereira's chipped pass in the 38th minute, while Vargas dragged the hosts within a goal of Basel three minutes before half-time.
In the 70th minute, Alcacer blasted the ball into the top corner from Vargas' knockdown to level the scores, while the striker put the La Liga outfit ahead with a tap-in from Pablo Piatti's cross, before Bernat scored on the counter-attack to complete the win.
"As long as I live, I'll never forget this hat-trick," Alcacer said.
"It's been my first in front of the Valencia fans.
"I'm very happy and I dedicate it to my team-mates, because without them, I couldn't have scored."
Pizzi was thrilled with Alcacer's performance.
"The centre-forward position is essential," the 45-year-old coach said.
"When a player scores three goals, there's very little else to say. The best thing he's done is to keep he and his teammates striving."
|14||Juan Bernat||115' 118'|
|17||E. Vargas||42' 104'|
|16||Paco Alcácer||38' 70' 113' 114'|
for F. Cartabia 76'
for J. Mathieu 81'
for João Pereira 109'
|Vitoria Guimaraes 3 Penafiel 0: Mensah brace inspires victory|
|Blanc has no worries despite Evian stalemate|
|Bayern Munich 2 Wolfsburg 1:Pep´s men kick off with a win|
|Heracles 0 Cambuur 1: Last-gasp defeat for pointless Heracles|
|Evian 0 Paris Saint-Germain 0: Cabaye sees red as champions frustrated|
|Al Hilal Omdurman 2 Zamalek 1: Al Madina ensures hosts of victory|
|McLeish returns to management with Genk|
|Mackay defends Bevan over controversy|
|Milan dealt blow in search for Balotelli replacement|
|Sunderland v Manchester United: Van Persie returns in much-needed boost|
|Depay agrees PSV contract extension|
|Barcelona v Elche: Confidence flows as Luis Enrique era dawns|
|N´Diaye leaves Sunderland for Betis|
|Dortmund can challenge Bayern - Hitzfeld|
|Van Gaal ´enchanted´ by Rojo|
|Tottenham v QPR: Redknapp returns to White Hart Lane|
|Hughes unaware of Palacios interest|
|Hull City v Stoke City: Visitors keen to spoil party|
|Hannover seal Briand deal|
|Emery braced for Fazio departure|
|Rodgers coy on Balotelli speculation|
|Xavi out to feel ´useful´ at Barca|
|Cardiff call for Bevan resignation|
|Mourinho: Club takes priority over players|
|Pellegrini ready for crucial Liverpool clash|
|Retirement not on Buffon´s radar|
|Swansea loan Carroll from Spurs|
|Taylor wants Liberty to become a fortress|
|Celtic enter Scepovic race|
|Samaras signs two-year deal at Albion|
|We cannot be complacent - Marcelino|
|Redknapp: Mackay should get second chance|
|LMA apologise for initial Mackay statement|
|Neymar a doubt for Elche clash|
|Alves confident of Enrique evolution|
|Ferdinand dreaming of England job|
|European and EPL clubs circling for Jets|
|Millen ready to lead Palace recruitment|
|Wenger: Wilshere should ignore critics|
|CONCACAF Champions League Review: Herediano start strongly|
|Lambert excited by ´big asset´ Cole|
|Copa Sudamericana Review: Barcelona, Deportivo Capiata in the box seat|
|Brazilian Serie A Review: Luciano inspires Corinthians, Cruzeiro extend lead|
|Blanc: Di Maria transfer difficult|
|Klopp eager to deny Leverkusen|
|Blanc optimistic over Ibrahimovic fitness|
|Tiote will stay - Pardew|
|Bruce laments ´stupid´ McGregor mistake|
|UEFA Europa League Review: Tottenham in late turnaround, Astra shock Lyon|
|League Two Preview: Morecambe, Burton out to continue fast starts|
|Sassuolo 4 Cittadella 1: Second-half rally sees Sassuolo into Coppa fourth round|
|Howard to take US sabbatical|
|Lokeren 1 Hull City 0: McGregor error gifts Belgians victory|
|Rwanda given Wednesday hearing for disqualification appeal|
|Pochettino hails substitutes´ impact|
|Mackay apologises over text message scandal|
|Brandao suspended over Motta incident|
|Borussia Dortmund v Bayer Leverkusen: Klopp expecting tough start|
|QPR complete loan deal for Vargas|
|League One Preview: Fleetwood, Preston face home tests|
|Chelsea v Leicester City: Schurrle expecting Chelsea improvement|
|Southampton v West Brom: Koeman wary of Albion|
|AEL 1 Tottenham 2: Late turnaround gives visitors play-off edge|
|CAF Confederation Cup: Al Ahly, Nkana out to reach last four|
|Swansea City v Burnley: Monk expecting stern examination|
|Bender close to Leverkusen return|
|Morocco will host Club World Cup despite Ebola concerns - FIFA|
|Schneiderlin not allowed to leave, insists Koeman|
|Dyche confident Burnley can strengthen|
|West Brom eye Samaras signing|
|Aston Villa v Newcastle United: Lambert wants more Weimann goals|
|MLS Preview: Sounders look to bounce back at Portland, Johnson banned for DC|
|Klose eyes European football|
|Monk warns Swansea over complacency|
|De Jong set for Newcastle return|
|Crystal Palace v West Ham: No excuses from Millen|
|Pearson looking for Chelsea indication|
|Blanc wants Rabiot to stay|
|Bowyer reveals Hull approach for Rhodes|
|Atletico out to gatecrash Barca, Real party once again|
|Barcelona go back to the future|
|CSL Preview: Beijing Guoan, Dalian Aerbin hit the road|
|Westwood returns to Ireland squad|
|Millen confident on Palace job prospects|
|Pedro struck down by gastroenteritis|
|Championship Preview: Magath preaches patience, Ipswich host East Anglian derby|
|Ribery not ready for Bayern return - Guardiola|
|Ancelotti: Di Maria has asked to leave|
|Moody resigns from Palace post|
|Everton v Arsenal: Martinez denies Everton have advantage|
|Coventry agree Ricoh return|
|Allardyce eyes defensive improvements|
|FA to investigate Cardiff dossier|
|Simeone not expecting to retain title|
|Balotelli bids farewell to Milan team-mates|
|Wenger open to signings after Arteta blow|
|Martinez to wait on Kone, Oviedo before considering late signings|
|Ocampos believes in Jardim´s methods|
|Villas-Boas calls for Zenit focus|
|Jovetic predicts bright future at City|
|Hamren hoping for quick Ibrahimovic recovery|
|Van Gaal retains focus on team ethic|
|Martinez calls for Everton consistency|
|Oxlade-Chamberlain: Arsenal´s best will come|
|Benaglio retires from Swiss duty|
|MLS Review: Galaxy stun Rapids, Sounders held|
|CONCACAF Champions League Review: MLS clubs shine|
|Panama 4 Cuba 0: Hosts finally win|
|K. League Preview: In-form Jeonbuk out to increase advantage|
|Copa Sudamericana Review: Penarol poised to advance, General Diaz on track|
|Liga MX Preview: America target another win|
|J.League Preview: In-form Kashima, Tokyo face tests|
|Fresh faces in Australia squad|
|Copa Argentina Review: River Plate, Estudiantes des Caseros reach quarters|
|Girard rues wasteful Lille|
|Scholes: ´I am scared for United´|
|Patient Inter got just rewards - Mazzarri|
|UEFA Europa League Review: Inter win in Iceland|