The Portuguese is being heavily tipped to take the reins in Southwest London after it became apparent he would be leaving Real Madrid this summer and Cech hopes a deal is struck to see him back behind the touchline with the Blues.
"I think the club has changed since he left," Cech told Sky Sports News. "It's been six years and the club has changed through the years.
"But he knows the club, he knows the environment, he knows English football and the Premier League. I think this is a big advantage.
"He might find a slightly different club than when he was leaving, but he will still find a club full of ambition and expectation and hunger to win trophies. This is the most important thing.
"I came to the club at the same time he did and he had confidence in me to put me in goal ahead of Carlo Cudicini.
"Since then, we won so many trophies. Although he left in 2007, I think everybody around the club and the supporters still remembers him with high regard."