José Mourinho's side were second best for long periods and made to toil in coming from 2-0 down before Nemanja Matic stole the show with a stunning injury-time victor that Eric Cantona would have been proud of.
A lot had been made of the club's run of games that they have had to endure as of late, and while they have not picked up many points, they still remain just one point off of survival with their toughest remaining games being Manchester United, Chelsea and Liverpool.
The 23-year-old has started each of United's last three games, during which they have seen off Chelsea and Huddersfield, and earned a hard-fought goalless draw with Sevilla in the Champions League.
The hosts took an early lead through a deflected strike from Andros Townsend, and seemed to be on their way to all three points when Patrick van Aanholt doubled the advantage three minutes into the second-half.
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Manchester United are not in action until Monday evening when they take on Crystal Palace at Selhurst Park (8pm). I think that the best bet for this game in the under 2.5 goals.
Manchester United have won five of their last seven games, losing to Newcastle and Tottenham. I didn't come to Crystal Palace to get long-term contracts.
Mourinho then introduced Luke Shaw for Ashley Young and Juan Mata for Antonio Valencia. Their assured performance in the second half stemmed from the control they had in midfield, thanks to the trio of Matić, McTominay, and Pogba.
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The drama wasn't over and in stoppage-time Matic stole the points for United, seizing the loose ball on the edge of the Palace area and cracking his strike into top corner to spark wild celebrations from the visitors.
"If you ask me second or fourth I say by the financial point of view it doesn't make a difference, by the prestige point of view doesn't make a difference, you go to Champions League and the fourth doesn't even now have to play the last qualification".
And finally, with two minutes of added time to play, Matic restored United's tenuous foothold in second place.
Fortune acknowledged that United's local rivals Manchester City have been "outstanding" this season, but suggested that his former club could be capable of launching a title challenge next term.
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