The Red Devils finished the season in second spot – albeit a whopping 19 points behind Manchester City.
They lock horns with Chelsea in the Wembley showpiece on Saturday and Ince thinks victory would constitute a successful campaign for Jose Mourinho.
Ince told Paddy Power: “If Man United win the FA Cup this weekend, and you consider that they’ve finished second in the league, you have to call that a successful season.
“I’ve seen a lot of people disputing this, but the fact is, they finished in second place.
“Yes, Liverpool or Tottenham might have played more attractive football, but they still didn’t finish in the runner up spot.
“There’s a points system for a reason.
“There’s a points system for a reason”
“When you look at how Man City played this year, they were miles ahead of everyone else.
“United finished on their best points total for years, and let’s be honest if they were up against normal opposition they’d probably have won the league with ease.
“But would I say them just making top four and winning no silverware would be a good season? No, I wouldn’t.
“If they were to win it – then it will save Jose Mourinho’s blushes.
“But if they don’t, he will be under severe scrutiny.
“Especially when you consider their two biggest rivals could have won the Premier League and the Champions League.”