Garcia completed a £16m move from Benfica to the Premier League champions on transfer deadline day and was one of five new players that manager Roberto Mancini signed that day.
"Without a doubt I'm at the biggest club in England and one of the biggest in Europe currently," said the 25-year-old. "So I'm very proud but also aware I'm joining a great side full of top players.
"They have given me a fantastic opportunity, bringing me into a really great team which will be fighting on all fronts to win trophies. What the fans will get is that desire and bravery I try to put in every game I play."
Garcia is relishing the chance to play in the Premier League and hopes to "enjoy the whole spectacle".
"I'm really excited because I know that the grounds are always full to capacity and the fans really love their football, supporting their teams in a sportsmanlike way, compared to some other places," he said.
"I can't wait for my first game to come around so I can enjoy the whole spectacle just as soon as possible."
City are currently fourth in the Premier League table with seven points from three matches.