The Gunners tried to sign the 26-year-old last summer but could not agree terms, but Arsene Wenger has retained his interest.
"My future? Well, I hold all the cards, I have no reason to be under pressure but everyday passing by, I am a little less a Bordeaux player," he revealed.
"My choice is to join Premier League and if I could choose, I will go to Arsenal.
"Bordeaux has brought me so much. I will soon clearly state things so the club can prepare to find my replacement peacefully."
Chamakh is full of praise for Bordeaux boss Laurent Blanc.
"Laurent Blanc has brought us a winning state of mind, he has taught us how to hate defeat," he told L'Equipe.
"Both on mental and physical levels, I am at my best. Three years ago, I was still a little crazy. Now I can manage my efforts, which allows me to be more clear-sighted at the end of the match.
"I have improved, but I can still improve. I am not only happy to play anymore. I have become someone who wants to win. I am more a scorer, but not enough yet. There are too many situations where I still do a pass for a player in a better position."