He said: "You have seen the type of players Manchester City are able to attract, like Robinho.
"I think this club has got everything in place to achieve big things and challenge right at the top, to go from a mid-table team to a team challenging right at the top."
Barry claimed it was the club's ambition that persuaded him to move to Eastlands.
He added at a press conference today: "The club put a price on me and Manchester City have come in and paid the money really early on.
"I spoke to the manager (Mark Hughes). I spent a bit of time thinking, spoke to friends and I am confident I have made the right decision.
"I felt very wanted here. The ambition was the main thing for me."