Kagawa was an unused substitute against Chelsea while Zaha did not make the bench after both made positive contributions to the pre-season campaign.
"I've not had a chance to look at other things," said Moyes. "I've had to stick to the same group of players and go with it.
"Shinji came back late and that was the biggest problem for him. We had to give him a week off after he came back to play for us in Japan as well.
"Wilf is still getting to know this level so we're happy with what we've got. I hope to use them as we go along."
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