Van Persie, who joined from Feyenoord for £2.75m eight years ago, said his statement was a necessity because of the abundance of media speculation regarding his future.
"I love the club and the fans, no matter what happens," he added. "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 eight years."
Arsenal have seen a number of their club captains leave over recent seasons, with Patrick Vieira (to Juventus), Thierry Henry and Fabregas (both to Barcelona) all departing.
The club have not won a trophy since beating Manchester United on penalties in the 2005 FA Cup final, the summer after which Vieira was sol