The Football Association confirmed on Monday afternoon that they had received City's appeal against Kompany's dismissal.
Kompany was shown a straight red card for a challenge on United's Nani after 12 minutes of a game City lost 3-2.
A hearing will now take place on Tuesday afternoon and City will be notified of the outcome later in the day.
Kompany, 24, is due to serve a four-match ban for the offence starting with the first leg of the Carling Cup semi-final against Liverpool on Wednesday.
If the appeal proves unsuccessful he will also miss the return leg as well as Premier League games against Wigan and Tottenham.
City manager Roberto Mancini announced he would appeal immediately after the game at the Etihad Stadium, saying he not only disagreed with the decision but that he felt United striker Wayne Rooney pressured referee Chris Foy into showing red.
Rooney on Monday used Twitter to express his thoughts on the matter.
The England forward wrote: "Funny how people think i got kompany sent off. Im not ref. i didn't give red card. But it was a clear red card. 2 footed tackle."
Mancini himself was criticised for waving an imaginary red card after an incident in his side's defeat of Liverpool last week.
The Italian felt Rooney's actions were of a similar nature.
"It was not a red card," Mancini said. "Rooney told him his decision.
"When I did this against Liverpool, people told me not to do it.
"I said I was sorry and made a mistake."
Rooney's stance has also been backed by his team-mate Rio Ferdinand.
The defender wrote on Twitter: "By the way how can there be any debate about the red card yesterday?? You leave the ground with a £2footTackle = Red card. Fact."
