The Blues goalkeeper is of the belief that City boss Roberto Mancini will have to keep a close watch on the big names in his group and hope that their recent success does not go to their heads in order to continue winning titles.
"It is in their hands how they manage to solve the problem of the huge players in the same squad so it is up to them," Cech told Sky Sports News.
"If they manage to get all those egos under their belt and control everybody then they will be the biggest rivals to win the title, together with Man United.
"You try to compete with everybody, no matter what squad they have. We have beaten them, we can do it again."