Rumours had linked the Italian, 24, with a return to his homeland, with Inter Milan and Napoli supposedly keen on signing the player whose contract was close to ending.
But the shot stopper has issued a rebuttal, insisting his deal is not due to end soon, and pledged his future to the club.
“I want to make it clear, because there have been unfounded rumours, that my contract is not ending in 12 months," Mannone told Arsenal Player.
"I've got a few more years and I'm happy to be at Arsenal right now. I'm looking at the present and my future is not in doubt.
"I want to stay at Arsenal as long as I can, I don't want to move to any other club."