The Netherlands international has announced he will not sign a new contract at Emirates Stadium and the damning nature of his statement has led to speculation he will be sold before the end of the summer transfer window.
Manchester City are reported to already have an agreement in place with the player's advisers, while Van Persie has also been strongly linked with both Italian champions Juventus and big-spending French club PSG.
However, at a press conference Ancelotti claimed he is not looking to bring Van Persie to Parc des Princes.
"Van Persie is not a target of ours, but I think he is for other clubs," said Ancelotti.
Arsenal have said they expect Van Persie to fulfil his commitments to the club.