A move away from the club before the transfer window closed was vetoed by City, but Given insists that he will not just sit on the bench.
"The club said I wasn't going anywhere and that was frustrating," he told the Sunday Times.
"We'll see what happens come January and hopefully if the situation's the same I can go on loan and try and get some games in.
"I've never said I want to leave Man City. I believe it's a big club that in the next couple of years is going to do big things. I want to be part of that but I also want to be playing football.
"I wouldn't mind where a loan was and wouldn't rule out abroad if it was a good club and a good team, no disrespect to a club that's fighting relegation and getting pummelled every week - though at the minute that probably seems better than what I'm doing."