Kvist said that he did not enjoy his time at the club under Bruno Labbadia, but is already enjoying Schneider's ideas.
"It wasn't an easy time for me [under Labbadia]," he told Bundesliga.com. "Hopefully that's in the past now. I'm happy the new coach has faith in me.
"I really like his ideas. Compactness, tactical discipline and organisation - it all makes us more clinical. When it comes to the games, we have a much better idea of how to go about things."
Kvist joined Stuttgart in the summer of 2011.