City pipped local rivals Manchester United to the post on a dramatic final day last season, winning their first title in 44 years on goal difference.
Chelsea finished a long way off the pace, but triumphed in the Champions League, and Cech believes they can compete domestically in the coming season.
"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.
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"You try to compete with everybody, no matter what squad they have. We have beaten them, we can do it again."
Chelsea have added Eden Hazard and Marko Marin to their squad, and have been strongly linked with the highly-rated Brazilian Oscar.
The departure of former manager Andre Villas-Boas' to Tottenham was linked with dressing room unrest, but while Cech acknowledges the difficulties of keeping players happy, he thinks that the signs during pre-season point to a bright future.
"To be fair we have great players here and everybody wants to play so this is always a big part of the big club," he added.
"So far we have a good atmosphere at the training ground. People are settling in and it seems to be going smoothly so I hope the pre-season will continue to be like that."