Chamakh is thought to have infuriated Wenger after he was pictured smoking a shisha pipe following last weekend's defeat to Queens Park Rangers.
The 28-year-old's future at the Emirates has been the subject of speculation for some time, with the player struggling to hold down a regular place in Wenger's starting line-up.
Chamakh, who has scored just one goal this season in 17 appearances, made his last start for the club in the FA Cup win over Leeds in January.
Wenger has criticised Chamakh for his recent antics and refused to confirm whether or not the Morocco international would remain at the club next season.
"It's (smoking shisha) not the best thing to do," said Wenger.
"Will he stay at club next season? It's too early to say. We want him to focus completely - without smoking."