City face a stern test of their Barclays Premier League title credentials as they travel to Chelsea on Monday night and then host Clichy's former club Arsenal next week.
But after starting their season with a 14-game unbeaten run, City are not fearing any opposition, according to Clichy.
The Frenchman told City TV: "The next two fixtures are really important, they are huge. They are the type of games that as a player you want to play and train every day for.
"If we come out with four points, that would be great, but of course we are aiming for the six points. We know we are capable of doing anything against any team.
"We will be going to Chelsea with the idea of three points. We will try to give our best shot because we can do it if we are serious and focused."