Footage posted on social media showed Eric Dier going up into a section of home supporters, climbing over several rows of seats and confronting a fan.
Manchester City beat second-tier Sheffield Wednesday 1-0 to reach the quarters while Norwich City got the better of Tottenham Hotspur 3-2 on penalties.
Willian opened the scoring thanks to a goalkeeping blunder from Adrian before Ross Barkley scored a solo goal for Chelsea to seal the game.
Sokratis Papastathopoulos and Eddie Nketiah scored for Arsenal in their 2-0 win over Portsmouth at a raucous Fratton Park on Monday.
Tottenham clinched a 3-2 victory over Southampton in a fourth-round replay to set up a fifth round clash against Norwich.
Liverpool's kids beat Shrewsbury 1-0 to set up a clash against Chelsea in the fifth round of FA Cup early in March.
The methods of recently hired manager Mikel Arteta looked to be taking hold as 18-year-old left-back Bukayo Saka finished off a sweeping, 22-pass move with a thunderous shot in off the crossbar in the fifth minute.
Liverpool squandered a two-goal lead and was held to a 2-2 draw by Shrewsbury in a riveting fourth-round match between clubs separated by 59 places in the English soccer pyramid.
United chose an ideal time to record the biggest victory in its 13 months under Solskjaer, who has been under massive scrutiny this week after chastening, back-to-back losses in the Premier League to Liverpool then Burnley.
Gabriel Jesus's brace and a goal each from Ilkay Gundogan and Bernardo Silva helped Manchester City beat Fulham 4-0.
Chelsea and Leicester City won their fourth-round ties in the FA Cup but Southampton forced a replay against Tottenham with a late equalizer.
Sofiane Boufal scored his first goal of the season in the 87th minute to level after Son Heung-min had given Tottenham the lead on a swift counterattack in the 58th off Erik Lamela's pass.
Manchester United entered the fourth round of FA Cup after a 1-0 victory over Wolves, but Marcus Rashford could be forced out of the upcoming game against Liverpool with injury.
Reiss Nelson scored the only goal of the game as Arsenal edged past Leeds United to enter the fourth round of the FA Cup.
Jones, a highly rated 18-year-old winger, scored a goal he may never better to earn Liverpool a 1-0 win over Everton in a Merseyside derby that had a familiar result at Anfield.
Tottenham, meanwhile, had to come back from a goal down to draw 1-1 at second-tier Middlesbrough in the latest below-par display by Jose Mourinho’s side.
Manchester City reacted by scoring through Sergio Aguero, youngster Taylor Harwood-Bellis - who deflected in a shot from Stones - and Phil Foden as the holders made a successful start to their title defence with a 4-1 win.
Sheffield Wednesday won 1-0 at Brighton while Fulham defeated Aston Villa 2-1 in the third round of the FA Cup.
Aaron Wilbraham, a 40-year-old striker, equalized in the 80th minute to earn Rochdale a 1-1 draw against Newcastle, which has not gone beyond the fourth round since 2006.
Live Streaming FA Cup: Manchester United vs Wolves FA Cup fixture will be live on Sony Ten 2 from 11.01 PM IST on Saturday.
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