Ajax failed to sign the winger in January, but are reportedly still interested in the 21-year-old.
“I do not want to move abroad yet. So the logical next step in my career is a big club in Netherlands,” Narsingh told NUsport.
“Ajax meet that criteria. I would not have to think twice if I got the chance to move there. There was not enough time to complete the move [in January]. It might happen after this season though.”
Narsingh is a product of the Ajax youth academy, but left the Dutch giants before having made a first-team appearance for the club.
He added: “I’ve read that my transfer fee is €6 million now. And to think Ajax could have had me for free.”
Narsingh’s current contract with Heerenveen is set to expire in the summer of 2013.
