United dominated possession and enjoyed more shots than Palace — 11 in the first half alone — but a goal proved elusive for much of the match.
However, Fred’s strike from the edge of the box in the 77th minute settled the contest and moved United up to 6th in the Premier League table.
The goal came shortly after Palace had squandered its best chance of the match when Jordan Ayew couldn’t turn a shot into the net following a corner.
“Maybe one or two situations where it was a little bit dangerous, but apart from that we had full control of the game … In the end, we deserved to win,” he said.
United is one point behind 5th-placed Tottenham Hotspur in the Premier League table. The north London side defeated Norwich City 3-0 on Sunday thanks to goals from Lucas Moura, Davinson Sanchez and Son Heung-min.