The new Man Utd manager says he had positive reports from predecessor Sir Alex Ferguson about the Japan international and is looking forward seeing what he has to offer.
Kagawa linked up with his United teammates for the first time since May on Monday, when the squad arrived in Japan on the third stop of its preseason tour. Although the 24-year-old is not expected to feature in Tuesday's game against Yokohama F Marinos, Moyes says he is looking forward to learning more about Kagawa this season.
"I know a little about him as a player," Moyes said. "Sir Alex spoke in glowing terms about Shinji and how good a player he is. I've just met him today, so we're getting to know each other. I'm trying to learn Japanese and he's trying to understand my Scottish.
"It was his first season in the Premier League last year. He's a young player so we hope his development continues. I look forward to working with him and hopefully he has a really good season coming up."
The Japan international featured 26 times for the Premier League champions in his debut season, scoring a total of six goals, but he recently admited to feeling lost at Old Trafford. Nevertheless, Kagawa is hoping to make a quick impression and build a strong working relationship with his new manager.
"We still need more time to get to know each other, but I'm looking forward to building up our relations," Moyes said. "As a player, I feel every game is important and I want to give my very best to give a good impression to the coach."