Chamakh recently indicated that he would be willing to go back to Bordeaux after a difficult spell in England and club president Jean-Louis Triaud has opened the door for a move, although he says there has been no contact yet.
He told Sud-Ouest: "For me, we can talk about a return when the player or his agent picks up the phone and calls me. For now, it does not happen."
Chamakh won a Ligue 1 title with Les Girondins in 2009 and scored 61 goals in 251 appearances during his eight-year stint at the club.
The 29-year-old joined Arsenal in 2010 and scored 11 goals in his debut season, but he has become a peripheral figure and managed just one league start this campaign before being shipped out on loan to West Ham.
Chamakh made three appearances during an unsuccessful stint at Upton Park and is believed to be keen on a switch back to Bordeaux.