The 23-year-old, who moved to Old Trafford from Borussia Dortmund earlier this summer, netted his first Premier League goal for the Red Devils during United's 3-2 win over Fulham on Saturday.
"I want to improve parts of my game," the Daily Star quotes Kagawa as saying. "I think the combination play with the other players will improve match by match.
"We pass the ball sideways a lot, but I want my teammates to pass the ball forward to my feet. I need to speak to them about this.
"I want them to have the confidence to play it up to me when I'm ahead of them. That is one of my strengths and style. I want to be on the ball more. I want to be busier."