Arsenal were one of the many clubs reportedly interested in the 25-year-old and speculation is rife that Gunners boss Arsene Wenger is set to make a renewed effort to sign him when the window opens again.
However, Chamakh claims he is not going anywhere in January.
"I'm going to finish my season at Bordeaux," he told France Football. "Honestly, in my head I don't want to relive what I lived through last summer.
"I don't want to see my name circulating during the transfer window.
"I've had enough of reading or hearing rumours that they are lacking a centre-forward somewhere."