The 28-year-old, who has a year left on his current contract, confirmed he had met with manager Arsene Wenger and chief executive Ivan Gazidis.
But he revealed that they disagree on the way the club should move forward.
Analysis ”While there was loose talk after the announcement that Van Persie and Arsenal could see out their remaining 12 months of contractual obligation, the tone of the 28-year-old’s message surely signals the end of his career at The Emirates.”
“I’ve thought long and hard about it, but I have decided not to extend my contract,” the Dutchman, at the club since 2004, wrote on his website.
It is not yet clear whether Van Persie, who scored 41 goals in 53 games for club and country and was named both the Professional Footballers’ Association and Football Writers’ player of the year last season, will see out the remainder of his contract or seek a move away from the Emirates.
Arsenal responded with a statement of their own, which read: “We have to respect Robin’s decision not to renew his contract. Robin has one year to run on his current contract and we are confident that he will fulfil his commitments to the Club.
“We are planning with ambition and confidence for next season with Arsenal’s best interests in mind.”
The Gunners do not want a repeat of last summer, when Cesc Fabregas and Samir Nasri were sold after the campaign had started.