The defender played the full 90 minutes in City's 2-1 comeback win over Tottenham on Sunday with no sign of injury.
|7/1||France are 7/1 with Bet365 to beat Italy 1-0
Bordeaux defender Benoit Tremoulinas has been called up as Clichy's replacement for the 26-year-old's second spell with Les Bleus squad following a selection by former head coach Laurent Blanc in 2010.
The attack-minded left-back is yet to make his international debut and failed to represent France at youth level.
The withdrawal comes following a number of similar moves by other Premier League players, with five ruling themselves out of the England squad alone.
Robin van Persie will also not travel with the Netherlands squad after pulling out with a thigh injury after playing for the duration of Manchester United's 3-2 win over Aston Villa on Saturday.