Victory over Valencia last night means Cech has the chance to retire with a Europa League winner's medal.
He said: "Well, you have to believe in your dream and that's the only way. To work hard is one thing, but you really have to believe dreams can come true otherwise it might not. I've always been doing it in my life and my career believing that it might come true.
"Throughout my career I actually did some of those dreams and my last dream as a professional footballer is to win the last final. I'm very happy we went through this difficult test today and we really deserve to go through."
On the Gunners' away support, Cech added: "I think we are on the verge of making history for Arsenal Football Club. It's such a fantastic football club and I feel like our supporters and everybody connected to the club deserve the joy from winning a European final so hopefully we can do the last step and win it for them.
"They've been supporting this club with all their energy and they've been waiting long, so hopefully we can end this wait."