Henry scored the winner on his return to the Gunners in the FA Cup tie with Leeds on Monday, and Wenger has hinted that he could hand the Frenchman a start against Swansea this weekend.
"Thierry has a top level of attitude. He has come back better than I expected - physically. He has hunger to practice every day and push himself," Wenger told The Sun.
"The Leeds game was a perfect night for him and us...He's ready to start. I cannot say what will happen but he can help us win coming off the bench or starting. He just wants to help the team win."
Arsenal could move into fourth with victory over Swansea on Sunday afternoon.