The Sweden international joined City in the summer of 2006 but had limited opportunities in his first season due to a succession of injuries.
The 26-year-old is open to the possibility of a loan move but would prefer a permanent transfer.
"I am trying to find a new club but nothing has happened thus far," Isaksson told Expressen.
"That is not fun. I must play, I feel a bit strange if I don't.
"It is the manager who decides and there is not much to say about that. My relationship with Sven is okay.
"He understands that I want to leave. Then, there are always negotiations between the clubs before an eventual deal.
"If a loan option comes up, I will see. But I would like to be bought by a good club who wants me and who play in a good league.
"I feel myself that it has gone well when I have had chances but obviously I am disappointed that I didn't get to continue (in goal)."