The Arsenal captain's decision not to extend his contract beyond 2013 has alerted Europe's richest clubs about a possible deal this summer.
But France's wealthiest club haved rule themselves out of the running.
Coach Ancelotti said: "Van Persie is not a target of ours, but I think he is for others."
The PSG boss also killed rumours of a reunion with Andrea Pirlo, who played under him at Milan.
He said: "Pirlo is an interesting player for any club, but I have had the chance to coach him for eight years and that is enough."