Triaud believes his former stand-out striker will remain in London after previously making enquiries about re-signing Chamakh in the January transfer window.
"It is not worth making things up. I tried to contact him six months ago when the transfer window was open," Triaud told Sport 10.
"Since I crossed paths with him at the Parc des Princes, he was able to tell me he was very happy in London, loved Arsenal and was fine where he was.
"We're talking about things which do not exist."