The England international, replaced by Jay Rodriguez in Roy Hodgson's latest squad, will miss the visit of the top-of-the-table Gunners.
The 22-year-old missed victory at Fulham with a knee injury and, despite returning to training ahead of a trip to Real Sociedad, was also omitted from the midweek Champions League squad.
Moyes has now revealed the striker will continue to sit out due to injury but he hopes his side can keep momentum running on the weekend by extending its eight-game unbeaten run in all competitions.
"We want to keep the results going and keep improving," he said in a press conference. "Hopefully we can keep that momentum going. Arsenal are coming to play the champions. They're top and will come here in good spirits but we want to put on a good show.
"They've had the benefit of continuity. They have the same chance to win the title as we all do. Their form has been good."
Moyes, who could secure his club's sixth consecutive home victory in the league against Arsenal, said is was another "tough" fixture handed to him at the start of his reign.
He added: "For a new manager coming here, it's a tough set of fixtures. But if you're Manchester United, you're used to it."