The win leaves United in 15th place in the Europa League standings on six points from four games.
Tottenham manager Mauricio Pochettino has said Ajax have an unfair advantage because the whole of the Dutch league programme was postponed to help Erik ten Hag's side prepare.
IMAGES from the English Premier League matches played on Sunday.
News of all that's transpired on and off the football field.
Manchester City roared back to the top of the Premier League with a 6-1 thrashing of Bournemouth after Manchester United steadied the ship
Manchester United's interim manager Ralf Rangnick has been appointed as the Austrian national team coach on a two-year deal tasked with qualifying for Euro 2024.
A number of Manchester United players are "not good enough" while some others are being "overpaid", the club's co-owner Jim Ratcliffe said.
Marcus Rashford and Alejandro Garnacho earned Manchester United a hard-fought 2-0 win
Having knocked out Real Madrid with a 4-1 win at the Bernabeu in the previous round, Ajax came from behind to beat Juventus 2-1 in Turin and complete a remarkable 3-2 aggregate win in their quarter-final.
Manchester United fought back to overpower West Ham United 3-1 and reach the FA Cup quarter-finals.
Harry Maguire said he can deal with hostile treatment from opposition supporters and that it takes the pressure off his England teammates.
Manchester United forward Cristiano Ronaldo has told the Premier League club that he wants to leave in the close season because of his desire to play in the Champions League, The Times newspaper reported on Saturday.
The schedule for the league's 2022-23 season was released with Liverpool starting away to promoted team Fulham. City plays its first game a day later.
Ronaldo's future at United is up in the air after he said he felt 'betrayed' by the Premier League club
Rashford earned praise during the COVID-19 pandemic when he launched a child food poverty campaign, which prompted a government U-turn in 2020.
'I had three days to decide on something that completely changes my life'
'It's a nightmare, like a dream that went bad'
Tottenham Hotspur and Newcastle United both sealed comeback victories to boost their European qualification hopes.
Images from the Premier League matches played on Thursday
'We have a team with much potential and we are showing that in the Champions League. It's not for nothing we have made it to the quarter-finals'
'A new ownership structure must embed supporters and include fan share ownership'
IMAGES from the Europa League matches played on Thursday
A deflected late strike from Lisandro Martinez earned Manchester United a much-needed 1-0 victory at Fulham in the Premier League on Sunday.
Ronaldo was an unused substitute as United produced arguably its most complete performance of the season. The 37-year-old has scored just two goals in 12 appearances for United this season.
Ronaldo was given a standing ovation by fans in the seventh minute of the meeting at Anfield, with Liverpool fans singing, "You'll Never Walk Alone" while their United counterparts applauded.
Arsenal sailed through the Europa League group stages, winning five of their six group matches and take on Sporting next, who overcame Denmark's FC Midtjylland in their playoff.
The victory moved United up to fifth with nine points from five matches, six adrift of leaders Arsenal and four behind second-placed Manchester City. Leicester stay bottom on one point.
A makeshift United defence that included Casemiro at centre-back was easily picked apart by Palace on several occasions
Erik ten Hag's side, featuring several players who played in the World Cup in Qatar, could have doubled their lead when Anthony Martial's shot was well saved by Burnley goalkeeper Bailey Peacock-Farrell.
Former Manchester United forward Wayne Rooney urged Cristiano Ronaldo to remain patient and make the most of the opportunities that come his way as the Portugal international looks to work his way back into the Premier League club's first team.
Images from UEFA Champions League matches played on Wednesday.
FA bans Ronaldo for two games for smashing fan's phone in April
Man Utd sign Mount from Chelsea on five-year deal
Manchester United crushed Newcastle United's hopes of a claiming a first domestic trophy for nearly 70 years with a clinical 2-0 victory in the League Cup final at Wembley on Sunday.
IMAGES from the Premier League matches played on Saturday.
A summary of Thursday's action in the Premier League.
Manchester United skipper Harry Maguire has received a bomb threat to his home in Cheshire with local police conducting a sweep of the venue
Manchester United conceded two late own goals to allow Sevilla to snatch a 2-2 draw in the first leg of their Europa League quarter-final at Old Trafford on Thursday.
British media said United had closed on a deal worth up to 70 million euros for Casemiro, who has 63 caps for Brazil.
Portugal forward Cristiano Ronaldo left Manchester United on Tuesday after a controversial interview in which he said he had no respect for manager Erik ten Hag. With the January transfer window close, what is his next move?