"I wasn't expecting us to score such an early goal and I doubt Juve did either," Neuer told UEFA.com. "It was a bit of a shock for them but obviously good for us.
"[Gianluigi Buffon] is a superb goalkeeper and if you look at the flight of the ball, it was a really difficult one for him. I know how David [Alaba] shoots – they're dangerous balls to deal with.
"You can't afford to make any mistakes in the Champions League. You could see from the start that we were trying to keep hold of the ball in our build-up play, making sure every pass arrived at its destination. We didn't want to risk opening ourselves up to any counterattacks, or to allow them any chances, and I think we managed to do that very well."
The second leg of the tie will be played in Turin next week.