The Manchester United manager is also hoping to welcome Javier Hernandez back into the fold as the Mexican's fitness will be assessed ahead of the game at Liverpool.
Kagawa was an unused substitute against Chelsea while Zaha did not make the bench on Monday after both made positive contributions to the pre-season campaign.
"I’ve not had a chance to look at other things," explained the boss. "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. Hernandez has trained in the last few days and could be fit [for Sunday]. He doesn’t feel his hamstring now and is getting there. He’s just lacking game practice."