The Morocco international has seen his chances limited to just seven appearances this season, including a loan spell at West Ham, and concedes that it is unlikely that he will remain a Gunner past the end of the 2012-13 campaign.
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Chamakh told Le 10 Sport: "There is always a bit of nostalgia when I see the Bordeaux fans and players. I spent so many good times here.
"However it has been three years since I left and we always talk about me here. I'll ask myself the question again; I'll see.
"Everyone knows that Bordeaux is the club in my heart. I'll have to make sacrifices because I can not stay like this. If I find an agreement with Bordeaux, why not.
"I know there's little chance of me staying at Arsenal. If I return to France, it could only be with Bordeaux."