Van Persie's future has long been the subject of speculation, with the likes of Manchester City and Juventus rumoured to have made enquiries for the striker who has one year left to run on his current deal at the Emirates Stadium.
The 29-year-old has now informed fans through his official website that he will not be extending his stay in north London, stating that his meeting with manager Arsene Wenger earlier this year had left him questioning how the club was moving forward.
"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," his statement read.
"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 the meeting it has again become clear to me that we, in many aspects, disagree on the way Arsenal FC should move forward.
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"I love the club and the fans, no matter what happens. I have grown up and became a man during my time with Arsenal FC.
"Everybody at the club and the fans have always supported me over the years and I have always given my all (and more) on and off the pitch.
"I am very proud of being part of this fantastic club for the last 8 years. As soon as Mr. Gazidis is back from his 2-week holiday in America further meetings will follow and I will update you if and when there are more developments."
The news will come as a bitter blow to Wenger, who stated on Tuesday that it was imperative to keep the PFA Player of the Year with Arsenal "at all costs".
A string of clubs across Europe are likely to be interested in signing Van Persie, who netted 37 goals in all competitions last season.