The Dutchman left the Gunners in the summer to join rivals Manchester United for £24m and has been a hate figure at the club ever since his departure.
However, Wenger wants the fans to welcome their former skipper in a positive manner.
"We will respect the players that have played for us a long time as we always have done and treat them well before and after the game," Wenger told The Mirror. "As a champion or not as a champion it is exactly the same.
"What I want is for us to have a good game and to beat them, it doesn't matter what kind if status they come with. We'll see."
Van Persie has scored 21 Premier League goals for United this season.