"I've thought long and hard about it, but I have decided not to extend my contract," he wrote on his website.
Van Persie's PL record
"This was a meeting about the club's future strategy and their policy. Financial terms or a contract have not been discussed, since that is not my priority at all.
"I personally have had a great season but my goal has been to win trophies with the team and to bring the club back to its glory days.
"Out of my huge respect for Mr Wenger, the players and the fans I don't want to go into any details, but unfortunately in this meeting it has again become clear to me that we in many aspects disagree on the way Arsenal FC should move forward."
Arsenal are scheduled to play matches in Malaysia, China and Hong Kong over the next two weeks.
They face a Malaysian XI on Tuesday in Kuala Lumpur, then head to Beijing to face Manchester City on 27 July. The Gunners finish their tour against Kitchee FC in Hong Kong on 29 July.
Van Persie will remain in England while his team-mates are away on tour, working on his fitness at Arsenal's London Colney training base.
Van Persie pulls a goal back at Euro 2012 with a magnificent strike
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