Gus Poyet was recently suspended by the Ligue 1 club after calling them a "disgrace". He accused the club of selling striker Gaetan Laborde behind his back. The former Brighton and Sunderland boss feels that he no longer has "the desire to continue".
Henry, who recently quit his role in punditry to focus on management, has been thrusted into favouritism to succeed the Uruguayan. And Wenger believes his former Arsenal player is interested in taking the job.
"He wants to do it," the veteran boss told Corse Matin.
"He is intelligent and he has the qualities. But the question that we always ask ourselves is whether we are ready to sacrifice our lives for the coaching profession."