The Morocco international has failed to cement a place in the Frenchman's starting lineup, and rumours circulated that the 27-year-old was seeking a move away from the Gunners.
"Marouane is not going anywhere. There is not a problem with Chamakh," said Wenger.
"He is fighting for the position with Robin van Persie who is in great form at the moment. He will get his chance, we have so many games."
The frontman, who has not started a game for Arsenal this season, signed for the North London outfit from Bordeaux last summer.