"I will not be fighting for my place or talking to the new manager about changing my mind."
Isaksson told Reuters he was a free agent but City said on Thursday he had one year left on the contract he signed in 2006.
Asked about Hughes's appointment, Isaksson said: "I don't really care. Hopefully, I won't be at the club next season."
Media reports in Sweden and England have linked Isaksson with a move to Premier League Fulham but he said he had not spoken to any clubs and was focusing strictly on Euro 2008.