The defender has recently joined the Scottish Premiership side.
The 35-year-old has joined the Hoops on a one-year deal (via Sky Sports). And he is backing his new side to put together a season as historic as the one that the Gunners enjoyed during the 2003-04 campaign when they went through the entire term without losing a single league game.
"Why not? That would be a great achievement for the team and for myself as well, to do it in two countries," he told The Scottish Sun when asked about going through the campaign unbeaten.
"My ambition for this season is just to win every game.
"I want to try to win the league, the cups, get into the Champions League and go as far as we can in it."
Celtic manager Brendan Rodgers
Though the Bhoys will undoubtedly go into the new season as favourites to lift the Scottish Premiership title, it will be a huge task for Brendan Rodgers' side to avoid a single loss along the way.
Aberdeen proved last season that they are more than capable of inflicting defeat upon the Hoops, while Hearts will be looking to build on the promise they showed during the previous campaign.
And, of course, this season will see the return of the Old Firm rivalry. Rangers came out on top when the two sides met in last term's Scottish Cup semi-final. And while they needed a penalty shootout to grab the victory, they have added nine new signings following their promotion so will fancy their chances.
But if Rodgers' men get off to a fast start and build some momentum, there is no doubt that they have the quality to achieve something special this year.