The Dutchman is tipped for a big future and he has already been likened to Gunners legend Dennis Bergkamp.
Arsenal and United are interested in signing the attacking midfielder this summer, while Napoli have made an enqiuiry too.
But Klaassen has now rubbished talk that he is off to Naples, by revealing he won’t leave Ajax unless the club tell him to.
“The Napoli talk is nonsense,” Klaassen told De Telegraaf.
“I’ll continue to play here, unless the club come to tell me something different. But I have no doubts.”