The Japan international provided Michael Carrick with the game-winning assist as the hosts began their 2012-13 Champions League campaign with a win against Galatasaray
Kagawa made an impression in his first appearance since September 6, where he was substituted at half-time in Japan's 1-0 friendly win against United Arab Emirates.
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After concerns over back pain that forced his withdrawal from Japan's World Cup qualifier against Iraq, the Samurai Blue star watched his club's 4-0 win last weekend against Wigan from the bench.
"We got off to a good start at home," the player told Nikkan after the match. "We had two or three chances to score, and then when we did convert it became an easier game to play.
"Nothing's hurting," Kagawa clarified when asked about the injury. "I've gotten back into form in practice, but I need to improve a bit more physically and increase my momentum."
Kagawa combined with team-mate Michael Carrick in the eighth minute, sending the midfielder clear on goal with a well-placed pass from just outside the penalty area, that Carrick slotted home.
"Once I got the ball I was able to pick up speed and move toward the goal," Kagawa elaborated. "That sort of play is important, but I'm disappointed that I wasn't able to take any big shots."