However, a decision on whether he remains at Leicester could depend on whether they remain in the top-flight.
"I was surprised to read speculation that I would not be staying at the club when my contract runs out at the end of this season," said Izzet.
"That was certainly news to me. I haven't talked to anyone about it and I have no thoughts of leaving.
"There is a way I can see myself playing for Leicester City next season - but I accept it is a Catch-22 situation.
"The club cannot make me an offer until they know what league they are going to be playing in and I understand that."
Izzets present contract at Leicester is due to expire in June next year.