The Asian superstar moved to Old Trafford in a transfer worth up to 22 million euros, but Gotze has hit back at critics claiming his departure will weaken BVB's chances of retaining the title for a second successive year.
"There is no question that he [Kagawa] is a really good player," the 20-year-old told German newspaper Bild. "But I believe that we, as a team, have the players to compensate for his departure.
"It is true that I personally prefer to play as a No.10, because I've played there in my youth, but we have Marco Reus and other really good players that can play in that position."
Gotze is also supremely confident that new arrival Reus, who joined from Borussia Monchengladbach this summer, can be a big hit at Signal Iduna Park.
"Marco is already a world-class player with incredible skills," he continued. "Therefore, I am even more pleased that he is here. You can see in every training session that he fits in and brings high quality.
"He is a very quiet, very modest guy. When we were with the national team we spent every day together. Now he lives in Dortmund, and it's really good for me; we are really close friends."
The youngster then reflected on the injury problems that plagued his 2011-12 campaign, and claimed that his prolonged spell on the sidelines taught him many things.
"I learned a lot in terms of my body," he said. "How my body reacts when I'm at my weakest and what to look out for. The new season starts at zero for me. These things are in the past, and have actually turned out to be a very instructive time."