The 28-year-old Dutchman, who has scored 32 goals in all competitions this term, said last month he was putting contract talks on hold until the end of the season and City have said they would be keen on signing him if those discussions fail.
Media reports have widely linked Arsenal with a move for Cologne forward Lukas Podolski but Wenger denied a deal was in place and emphasised that any new purchases would work with Van Persie rather than replace him.
"Our plan is to keep Robin van Persie even if we buy any player," Wenger told a news conference.
"Robin is the leader of our club and I would just like to specify that he is not at the end of his contract. He is under contract until 2013."
"I believe if you are to have one quality it is not to be unsettled because what is said of you by other clubs is part of the job," Wenger said.
"What is important is how much you want to win the next game and all the rest is basically not important.
"I cannot stop that [others talking about Van Persie]. In an ideal world maybe, but it doesn't bother me too much."
