Pogba received his fifth booking of the season during this afternoon’s 1-1 draw with the Hammers after he was adjudged to have dived by referee Jon Moss.
The incident resulted in Jose Mourinho being sent to the stands for dissent and comes after the world’s most expensive player was booked against Watford, Chelsea, Manchester City and Burnley earlier this season.
Fellaini was only introduced from the substitutes bench in the 88th minute at Old Trafford but there was still enough time for the Belgian to be booked for a strong challenge on Mark Noble.
It was also the former Everton midfielder’s fifth caution of the season after he made the referee’s notebook against Hull City, Manchester City, Watford and Liverpool.
The two sides will be back at Old Trafford in three days’ time as they look to book their place in January’s EFL Cup semi-final.
Sunday’s draw was Manchester United’s fourth consecutive stalemate in the league at Old Trafford – something the club had not done since 1980 – and meant the Red Devils have endured their worst start to a season since the 1990/91 campaign after 13 games.
Arsenal will also host Southampton in the other quarter final tie at the Emirates Stadium.