The Gunners scored three quickfire goals in the first half as they ran out 3-0 winners at Villa Park.
Welbeck, a deadline-day signing from Manchester United, scored his first goal for the club in the victory and Wenger was impressed by what he saw from the England international.
"He scored a similar goal to the one he scored in Switzerland. A cross from the left and he pushed it in - the timing of his run is good," Arsenal's official website quotes Wenger as saying.
"I think he had a very good performance today because he kept the ball. Ball retention is important and he had a good all-round game for a central striker."
Arsenal are currently fourth in the Premier League table