The 23-year-old made his City debut in the 1-1 draw at Stoke on Saturday.
Sinclair joined City from Swansea on transfer deadline day.
City face Real Madrid in the Champions League at the Bernabeu on Tuesday.
Sinclair said: "It's a great draw. I watched the draw and everyone is looking forward to going out to the Bernabeu.
"This is why I came here - to play with the best and be in a world-class team.
"I don't know if I'll play - I've just made my debut and all I can do now is concentrate on the next game, and on training every day, and give 100%.
"I am just looking forward to playing any games, to be honest, whether it's my City debut in the Premier League or a Champions League game. All I can do is try to make an impact."