The 25-year-old suffered serious knee and hamstring injuries last season, but he is now focusing on getting regular first-team games under head coach Manuel Pellegrini.
Richards has less than two years remaining on his current contract, but the right-back says he is enjoying life at the Etihad Stadium and is hoping to commit his long-term future to the club.
"I'm not leaving City. It's my club and I love it here. Ten more years - that's my aim," he told The Sun.
"I am back fit now and believe when I'm fit I am as good as anyone in the division playing that role."
And Richards is also aiming to break into Roy Hodgson's England World Cup squad, despite stiff competition from the likes of Kyle Walker, Glen Johnson, Phil Jones and Chris Smalling.
The City defender is determined to keep his hopes of going to Brazil next summer alive by making an impact at club level.
He said: "It's about keeping fit and getting some games in.
"I've felt I played well in the three games (he's played for City this season).
"Brazil would be nice. I've never been! I was supposed to go to a tournament there when I was younger but didn't make it."