Speculation has surfaced over the Dutchman's future since he announced last month that he was in no rush to sign a contract extension at Arsenal, with his current deal set to expire in the summer of 2013.
He did make it clear that he was happy with the Gunners, while manager Arsene Wenger also insisted there was nothing to worry about.
Arsenal's poor form this season has nevertheless led to suggestions that Van Persie may eventually decide to follow the likes of Cesc Fabregas and Samir Nasri out of the Emirates Stadium in a quest for silverware.
"I do not know (what I will do), I cannot predict the future," the 28-year-old said in The Times.
"Everybody makes his own history and only afterwards can you see how that went."
Manchester City have been linked with a move for Van Persie as they look to continue the progress they have made in recent years, and he has not ruled out moving to another English club.
"I do not know," he said. "For one thing, as an indication, when I came to Arsenal we immediately beat City.
"But in recent years much has happened in England.
"Nevertheless, I think the Premiership is still the best league in the world, it gives me everything I want."
Van Persie also stressed that it was not up to him to judge Wenger's transfer policy at Arsenal, following criticism of the Frenchman in some quarters.
He said: "I'm not a technical director and coach., I have no input into it."