It was his first Premier League start of the season and confirmed the suspicion that Moyes has little faith in the Japan midfielder.
A £17million buy from Borussia Dortmund last year, Kagawa said: "I thought that I would have been able to find some space to create the chances in the second half.
"In that sense, I was disappointed to have been substituted.
"Sure, I wasn't involved that much, I didn't touch the ball enough, but I was trying to be patient so I didn't feel that bad. However, I have to take this like some kind of message from the manager.
"I need to improve or I can't survive at this club. I have to take this in a positive way and try to do my best."
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