Zaha, 20, signed for the Red Devils in January but was immediately loaned back to his current club Crystal Palace until the end of the season.
Blackpool winger Ince, who himself has been linked with a move to the Premier League and a switch to Liverpool, believes Zaha will hit the ground running at Old Trafford next term.
“I look at Wilfried now and he’s got his big-money move to Manchester United and all credit to him, he’s done ever so well at Palace,” Ince told Sky Sports.
“I hope next season when he does go to Manchester United that he gets the same chances he’s getting now at Palace, and I’m sure he’ll take them by storm.”
Zaha, capped once by England, has scored six goals in 41 appearances for Palace in all competitions this season.
MORE: The latest football news