The Gunners captain, who has two years remaining on his contract at the Emirates Stadium, recently refused to commit his long-term future to the club.
However, Wenger has revealed that he is fine with Van Persie's situation and that the club are in no hurry to offer him a new deal.
"On our side we are quite clear. We are clear with our intention [to keep him] but after that you have to respect [Van Persie]," the French boss told a press conference.
"He has nearly two years to go so let's not make an immediate issue of something like that. Two years in football is a very, very long time."
Van Persie scored his 100th goal for the club during Saturday's 3-0 win over Bolton Wanderers.