Maurizio Sarri's assistant Gianfranco Zola claimed after the match that the decision to send his compatriot to the stands was unfair.
It was a missed opportunity after defeats for Tottenham, Arsenal and United at the weekend and Chelsea were booed off at full-time.
After a spectacular start for Ole Gunnar Solskjaer as caretaker manager of the club, Manchester United have since suffered a precipitous drop in form.
Alexandre Lacazette's stunning 36th-minute free-kick put Arsenal through to a Europa League final four meeting with Spanish side Valencia.
Chelsea will face Eintracht Frankfurt for a place in the Europa League final after the German side beat Benfica 2-0 on Thursday to go through on away goals.
Mohamed Salah scored a sensational goal in Liverpool's 2-0 win over Chelsea in crucial Premier League match on Sunday.
Arsenal held out for a first clean sheet away from home in the Premier League this season to move ahead of Chelsea on goal difference into fourth.
Manchester City have five games left compared to just four for Liverpool, leaving the destiny of the title in the hands of the champions.
The English champions move a point ahead of Liverpool, who host Chelsea at Anfield later on Sunday.
Liverpool are chasing their first English top-flight title since 1990 and a victory over the Chelsea at Anfield would be a big step toward that dream.
Arsenal saw off highly-fancied Napoli 2-0 at the Emirates, while Marco Alonso's late header earned Chelsea a hard-fought win at Slavia Prague.
Danny Drinkwater was arrested early Monday morning after what police termed a "one-vehicle incident" on his way back to his home near Manchester following a charity event.
Eden Hazard himself admitted after the game that solo effort against West Ham was "something special".
Chelsea may be forced to cash in on Eden Hazard as their number 10 has just over one year left on his contract and has so far refused to extend his deal.
Victory ensured Chelsea moved into third in the Premier League, two points clear of Tottenham and three ahead of fifth-placed Arsenal in the race for a top-four finish.
Manchester City's 2-0 victory over Cardiff took Pep Guardiola's quadruple-chasers to 80 points - one clear of Jurgen Klopp's Liverpool.
Maurizio Sarri angered Chelsea fans with his refusal to start Callum Hudson-Odoi and they vented their feelings during the fortunate win on Sunday.
Arsenal climbed two points above fourth-placed Tottenham and fifth-placed Manchester United to bolster their chance of qualifying for the Champions League.