Head coach Antonio Conte believed referee Kevin Friend made an incorrect decision and Terry wrote on Instagram that he would appeal against the red card and one-match ban.
It is understood that a hearing into the decision will take place at some point today.
Terry, making his first start since the EFL Cup exit at West Ham in October and first appearance since November, was adjudged to be last man when he fouled Lee Angol and was shown a straight red card by Friend for denying a clear goal scoring opportunity.
He faces a suspension which would rule him out of this weekend's clash with Leicester, whom Chelsea are bidding to succeed as Premier League champions.
Terry wrote on Instagram on Sunday night:
I will be appealing and hope the FA and the ref will look at it and realise I didn't touch Lee Angol
I think it wasn't right, this decision from the referee. He didn't take the opponent and also the second reason was because behind John there was (Branislav) Ivanovic to cover John.
"You have to respect the referee's decision, but in this case maybe we will do an appeal for this situation