De Boer has been linked with Roberto Mancini's job at City.
He said: "Manchester City are something I want to do, yes. But it is difficult for me to move my family abroad at the moment.
"I have to consider others, not just myself."
Pressed on the future of the club's coach, Ajax director Marc Overmars said: "Am I worried? Not for losing Frank now, but City will be a big competitor for his signature in the near future."