Landing the European Cup has been described as an 'obsession' both for the Russian billionaire and his players, but Cech - who has played a part in all but one of the Blues' failures - has insisted that could be said about any big club.
"If they are not, I'd be surprised why they play in it. Even if you have won it before, you just want to keep winning the Champions League.
"Every season, the ambition is to win the competition. People always use the word 'obsession' in a negative way, which I'm amazed by.
"We are not obsessed in the way that, if we don't win it, we'll just go and shoot ourselves. That's not the case.
"We are obsessed with the Champions League because this is a great competition to win.
"In a positive way, we try to search for the victory. I think it's very good to have this 'obsession' because, if you're not hungry to win, you shouldn't play."