But The Sun says he faces a dogfight with Arsenal's bitter rivals Spurs.
The Frenchman is available on a Bosman from New Year's Day but would not be able to join any new club until the summer. Wenger desperately needs a target man with Robin van Persie and Nicklas Bendtner out.
He could yet try to sign Chamakh from Bordeaux in January but would have to cough up a fee of around £5m.
A source close to the deal said: "Wenger has made it clear to Marouane and his agent he still very much wants to sign him.