Van Persie joined the squad at the start of the week and Moyes expects him to play some part in Saturday's game against the Foxtel All-Stars in Australia.
The Reds boss said: "We've enjoyed having Robin here. He was a massively important part of Manchester United last season and I'm hoping he'll have just as big an influence this season.
"I got to see him this week for the first time. His control, touch, awareness in the small games is excellent. I've really been impressed by his professionalism, too. He's never complained: he's worked hard.
"We're trying to get him into a position where he can do what he did last year - score goals for United and be a big influence on the team.
"We'll probably only use Robin in the second half [on Saturday]. We've over-trained him this week to make sure he builds up his fitness."