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.
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."
Moyes also delivered more team news for the friendly at the ANZ Stadium.
"Phil Jones will be involved from the start," he said. "We've not come with a massive squad so that means everyone will play some time. Well, that's the plan.
"I want players to get 90 minutes. That happened in the first game and we'll try and do that again in this game."
The manager's press conference will be shown in its entirety by MUTV with the first airing at 11am BST followed by repeats throughout the day.