The Gunners are now right back in the race for the Barclays Premier League crown thanks to three straight wins and slip-ups by their rivals.
Arsenal could go top with a big win against Burnley on Saturday and Clichy is not surprised.
Run like the wind: Clichy (right) tries to beat Lorik Cana
'People were saying we were not good enough, when we were playing Manchester United and we lost against Chelsea, but we kept the confidence really high because we know we have the players and the quality to do it,' said Clichy, speaking at Arsenal in the Community's 25th anniversary celebrations.
'When you play for a team like Arsenal, you want to be the best and to be the best is to compete week-in, week-out against any team in the league.
'Of course, when you find yourself 11 points behind the leaders (as Arsenal were in November), you ask yourself: "It's going to be really difficult. Are we capable of doing it?" and a few weeks later you find yourself back in the title race and that's a good feeling.
'So that shows you the character in the squad and, once again, with the players we have, I'm sure we can do it. It's going to be difficult, but I'm sure we can.'
Blue murder: Didier Drogba orchestrated two wins for Chelsea
Arsenal have been here before, setting the pace in 2007-08 only to fall away at the end of the season.
'Two years ago was a good chance,' admitted Clichy. 'We stayed at the top of the table for seven months and we finished not strong enough and we didn't win anything at the end.
'I don't know if this year is the best opportunity, but certainly it can be a good year for us, if we can maintain our performance. We've played the big teams so now it's down to us to show people we want it and we're ready for it. We will try to grab the chance to win something.
'If we win our games we have a really big chance of doing something this year, so that's all that matters to us, to take game after game and show people that we can perform week-in, week-out.'
Theo row - Pearce tells Arsene he's not to blame for Arsenal winger's injuriesPICTURE SPECIAL: Rock on, Tommy! Arsenal maestro Rosicky turns guitar hero to serenade Chelsea keeper Petr CechArsenal leapfrog Chelsea in rich list as United are toppled by Spanish giantsWin tickets to Arsenal v Burnley - courtesy of Emirates AirlineARSENAL FC