Juan Mata, the club's player of the year for the last two seasons, has struggled to establish himself as a first-choice selection since Jose Mourinho return to Chelsea.
West Brom's Nicolas Anelka performed a "quenelle," a controversial gesture and described as an inverted Nazi salute.
James Chester of Hull City turned from hero to villain for the hosts as he scored the opening goal in the fourth minute only to head one in for Manchester United in the 66th minute as well.
Phil Jones, 21, was left out of the United squad for the trip to Hull City on Thursday, having started their five previous matches.
Arsenal fans booed Jose Mourinho's Chelsea off the field with chants of "Boring, boring Chelsea!". He however says their ire was not directed correctly.
Manchester City dropped a place to fourth, five points off leader Arsenal having played a game more.
Saturday's victory left Andre Villas-Boas's side in sixth place in the table, two points below the Champions League places, after both Chelsea and Manchester City dropped points earlier in the day.
A brace from Romelu Lukaku had put Everton on the brink of a first win over their city rivals in seven matches, but Sturridge's header gave Liverpool a share of the spoils.
Jose Mourinho's men go into the Premier League clash on the back of a 3-0 Champions League win against Schalke on Wednesday, but Mourinho is still smarting after their lacklustre 2-0 defeat at Newcastle last weekend.
Arsenal and Manchester United have enjoyed many memorable tussles during the Premier League era, but it is usually United who have come out on top, and particularly when playing on home turf.
Spurs dominated the first half but failed to seriously test Everton goalkeeper Tim Howard, who made comfortable saves from Kyle Walker and Andros Townsend.
Arsenal's 2-0 win at home against Liverpool has taken Arsene Wenger's team five points claer at the top of the Premier League.
Pellegrini has come in for criticism in recent weeks after spluttering City struggled to find their top form. And the team found a treasure trove of form against Norwich.
David Moyes believes Wayne Rooney and Robin van Persie can combine to form a deadly firing pair for Manchester United.
Spurs have already suffered two defeats this season and head to Everton on Sunday looking to avoid a repeat of last season's loss at Goodison Park.
Arsenal could be in second place by the time the game vs Liverpool kicks off at the Emirates Stadium, if Chelsea win at Newcastle United in Saturday's early match.
Ashley Young has not played a league game for Manchester United since they were thrashed 4-1 by bitter rivals Manchester City in September.
Arsenal go into the latest round of matches at the top of the table, two points clear of their opponents and Chelsea who face Newcastle earlier in the day.