The 59-year-old believes the time he has given to the game warrants respect from the officials after being sent to the stands on Saturday
The 59-year-old marched on to the pitch to confront referee Suleyman Abay during the match, but feels his services to the Turkish game mean he should be forgiven more readily.
"Of course I make mistakes sometimes. But I think it is a disgrace to send off a man like me who has served Turkish football for 40 years," he told the club's official website.
"I have given my life to Galatasaray and referees must respect me."
Club president, Unal Aysal, meanwhile, has backed Terim in the wake of the incident, claiming the coach had been dealt a grave injustice.
"We are concerned about the injustice," he added.
"We will not sit silent and let this happen. We will claim our rights."
Didier Drogba scored two goals in his side's combeback win and was delighed to make an impact in front of the Turk Telekom Arena faithful.
"We have made a great comeback from 1-0 despite the red card," he said.
"Scoring goals in front our fans was important to me so I am very happy and I will continue scoring."