Zaha could feature against Chelsea in Saturday's evening game, after returning to first team training this week — well ahead of schedule.
The winger was expected to be out until after this month's international break with a knee injury, but has made what manager Roy Hodgson called a “remarkable recovery".
Hodgson said: “All teams are reliant upon their decisive players — their MVPs to use an American analogy.
“I would be delighted if it was possible for him to play any part on Saturday.
“What we definitely don't want to do is push him back that week too early and miss him at the end of the season."