"My dream came true when I had the chance to play my first game in the Premier League," the keeper told MTI.
"I want to play regularly now, there are some interested teams from the Premier League and the Championship where I would be first-choice keeper.
"I won't mention any names but I think it is likely that I will be playing for another club next season."
It is reported that Dutch giants PSV are also keen on the former Tottenham stopper and have already tabled a £500,000 offer.
However, that bid is thought to fall some way short of Keane's valuation of the player and newly promoted Stoke may now pounce on a player who spent a brief loan spell at Britannia Stadium back in February.
"So far I have not really listened to the rumours about me but now I am waiting for the right offer to come," said Fulop. "I want to play for a club which will really rely on me."