Fazackerley says he is happy with his role and work at City after spending much of last season in front of a computer in an office after being sidelined by then manager Stuart Pearce.
"Kevin is not the sort of bloke to go into a new job and hire and fire immediately. He didn't do that here with Willie Donachie after he took over from Joe Royle. The two worked together for a while before they decided it wouldn't pan out.
"Kevin will let the coaches up there have a crack at things and will then make his mind up.
"I haven't spoken to him about a job. What has been written and said is just pure speculation based on our previous working relationships with Newcastle, City and England. People forget that I didn't work with him at Fulham.
"In any case I am very happy at City to have been given the opportunity by Sven to get back out on the training ground and show what I can do and hopefully he has been pleased with my input.
"We are having a fine season and all that matters now is to keep that going until May."