Rashford made his 100th Premier League appearance against Leicester, scoring his 26th goal in the competition
Manchester United extended their unbeaten run under interim boss Ole Gunnar Solskjaer to 10 games with a narrow victory against Leicester at the King Power Stadium.
Marcus Rashford continued his goalscoring form with the winner in the ninth minute - his 10th goal of the season.
Ricardo Pereira's poor clearance was straight into the path of Paul Pogba, who lofted the ball towards Rashford, the England striker allowing it to come over his shoulder, before taking a neat touch and drilling past Kasper Schmeichel.
Inconsistency has been the story of Leicester's season and this defeat came on the back of a well-earned point at Liverpool on Wednesday, but they did have their chances.
Jamie Vardy connected with a bicycle kick after James Maddison's free-kick bounced off the wall, and fired straight at David de Gea.
De Gea also made a diving one-handed save to prevent Rachid Ghezzal's free-kick from hitting the top corner of his goal.
United dropped their first points under Solskjaer in a 2-2 draw with Burnley on Tuesday, but boosted their hopes of a top-four spot and Champions League football next season with Sunday's win.
They move up to fifth, two points behind Chelsea in fourth. Meanwhile, Leicester stay in 11th.
More to follow.
- Live text commentary of Leicester v Manchester United and updates on Radio 5 live from the King Power Stadium
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Line-ups
Match Stats
Live Text
Line-ups
Leicester
1Schmeichel
14Ricardo Pereira
6Evans
15Maguire
3Chilwell
24MendyBooked at 45minsSubstituted forIheanachoat 84'minutes
25NdidiBooked at 90mins
7GraySubstituted forOkazakiat 74'minutes
10MaddisonSubstituted forGhezzalat 62'minutesBooked at 82mins
19Barnes
9VardyBooked at 32mins
Substitutes
5Morgan
8Iheanacho
12Ward
20Okazaki
28Fuchs
31Ghezzal
38Choudhury
Man Utd
1De Gea
18Young
3Bailly
2Lindelöf
23ShawBooked at 80mins
31MaticBooked at 42mins
21Herrera
6Pogba
14LingardBooked at 20minsSubstituted forJonesat 90'minutes
7SánchezSubstituted forMartialat 67'minutesBooked at 90mins
10RashfordSubstituted forLukakuat 78'minutes
Substitutes
4Jones
8Mata
9Lukaku
11Martial
17Fred
20Dalot
22Romero
Referee:
Mike Dean
Attendance:
32,148
Match Stats
Home TeamLeicesterAway TeamMan Utd
Possession
Home45%
Away55%
Shots
Home17
Away10
Shots on Target
Home6
Away6
Corners
Home7
Away2
Fouls
Home14
Away9
Live Text
Full TimePosted at 90'+5'
Second Half ends, Leicester City 0, Manchester United 1.
Posted at 90'+4'
Attempt missed. Harry Maguire (Leicester City) right footed shot from the centre of the box misses to the right.
BookingPosted at 90'+3'
Anthony Martial (Manchester United) is shown the yellow card.
Posted at 90'+3'
Foul by Anthony Martial (Manchester United).
Posted at 90'+3'
Ricardo Pereira (Leicester City) wins a free kick in the defensive half.
BookingPosted at 90'+3'
Wilfred Ndidi (Leicester City) is shown the yellow card.
Posted at 90'+3'
Paul Pogba (Manchester United) wins a free kick in the attacking half.
Posted at 90'+3'
Foul by Wilfred Ndidi (Leicester City).
Posted at 90'
Attempt saved. Anthony Martial (Manchester United) left footed shot from the left side of the box is saved in the bottom left corner. Assisted by Ashley Young.
SubstitutionPosted at 90'
Substitution, Manchester United. Phil Jones replaces Jesse Lingard.
Posted at 89'
Corner, Leicester City. Conceded by Luke Shaw.
Posted at 88'
Attempt saved. Jamie Vardy (Leicester City) left footed shot from the centre of the box is saved in the centre of the goal. Assisted by Harvey Barnes.
Posted at 87'
Attempt saved. Romelu Lukaku (Manchester United) left footed shot from the right side of the box is saved in the bottom right corner. Assisted by Paul Pogba.
Posted at 86'
Anthony Martial (Manchester United) wins a free kick in the defensive half.
Posted at 86'
Foul by Jonny Evans (Leicester City).
Posted at 85'
Hand ball by Ricardo Pereira (Leicester City).
SubstitutionPosted at 84'
Substitution, Leicester City. Kelechi Iheanacho replaces Nampalys Mendy.
Posted at 83'
Nemanja Matic (Manchester United) wins a free kick on the left wing.
Posted at 83'
Foul by Shinji Okazaki (Leicester City).
Posted at 83'
Hand ball by Harvey Barnes (Leicester City).
BookingPosted at 82'
Rachid Ghezzal (Leicester City) is shown the yellow card for a bad foul.
Posted at 82'
Anthony Martial (Manchester United) wins a free kick in the defensive half.
Posted at 82'
Foul by Rachid Ghezzal (Leicester City).
BookingPosted at 80'
Luke Shaw (Manchester United) is shown the yellow card for a bad foul.
Posted at 80'
Foul by Luke Shaw (Manchester United).
Posted at 80'
Ricardo Pereira (Leicester City) wins a free kick on the right wing.
SubstitutionPosted at 78'
Substitution, Manchester United. Romelu Lukaku replaces Marcus Rashford.
Posted at 77'
Anthony Martial (Manchester United) wins a free kick in the defensive half.
Posted at 77'
Foul by Ricardo Pereira (Leicester City).
Posted at 77'
Corner, Leicester City. Conceded by David De Gea.
Posted at 76'
Attempt saved. Rachid Ghezzal (Leicester City) left footed shot from outside the box is saved in the top right corner.
Posted at 76'
Foul by Luke Shaw (Manchester United).
Posted at 76'
Rachid Ghezzal (Leicester City) wins a free kick in the attacking half.
Posted at 74'
Attempt blocked. Anthony Martial (Manchester United) right footed shot from outside the box is blocked.
SubstitutionPosted at 74'
Substitution, Leicester City. Shinji Okazaki replaces Demarai Gray.
Posted at 70'
Corner, Manchester United. Conceded by Ricardo Pereira.
Posted at 69'
Attempt missed. Harvey Barnes (Leicester City) right footed shot from the left side of the box misses to the right. Assisted by Jamie Vardy.
SubstitutionPosted at 67'
Substitution, Manchester United. Anthony Martial replaces Alexis Sánchez.
Posted at 63'
Attempt missed. Wilfred Ndidi (Leicester City) right footed shot from outside the box is high and wide to the right. Assisted by Demarai Gray.
SubstitutionPosted at 62'
Substitution, Leicester City. Rachid Ghezzal replaces James Maddison.
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Source: bbc.com