The £6.2 million summer signing has made just two starts for Roberto Mancini's side after making the step up from the Swans, but insists he will "give 100 per cent" in order to gain a starting role.
And while the young winger may not be playing regularly, he still feels he can learn a lot by working with the "world-class" players City have at their disposal.
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"I don't know how often I'll play, because competition for places is intense," he told reporters.
"I made my debut against Stoke and then played against Arsenal and Aston Villa. All I can do now is concentrate on the next game and give 100 per cent.
"I'm just looking forward to playing in any games. All I can do is try to make an impact when the opportunity arises."
The winger feels he can improve from being in the presence of such gifted players, though, and believes with such a talented squad he will get opportunities to impress as players are rested and rotated.
He added: "I'll aim to improve off all the world-class players here. Everyone will be rotated, so it's down to the manager's choice.
"I'll just work hard and try and get the nod again."
The Premier League champions beat Sinclair's former side 1-0 on Saturday, but the winger himself did not feature from the bench.