"He was positive about me as well, and that's nice because it gives me confidence - so I hope I'll be showing that on the pitch.
"I'm very impressed with the vision of the club and where it wants to go.
"Obviously it's going to take time, but we're going to progress and keep doing so until we achieve big things."
The signing of Bridge has strengthened one of the team's weak areas, and the player is anticipating more arrivals this month.
"There are some quality players here already, and I'm looking forward to playing alongside them," he added.
"There's a lot of talk of bringing more players in, so I'm looking forward to that too.
"Obviously, and most importantly, I want to show the fans here and everyone around that I can do well at Manchester City.
"I'd like to think I'm coming into my prime. I've got a good engine and a good left foot, so I'll be looking forward to showing that on the pitch."