The FA will investigate two incidents involving the volatile Togolese striker.
-- A clash with Robin van Persie left the Dutchman with a gash on his face. Adebayor appeared to kick van Persie, who says he was the victim of a "mindless and malicious stamp."
-- His run from the Arsenal goal to the other end of the field, where he taunted Gunner fans after he scored City's third goal.
"Our governance team will take a good look at both of the incidents that have been highlighted and will come to the media with the answers early next week," FA chief executive Ian Watmore told BBC radio on Sunday.
Van Persie is convinced his former teammate was out to hurt him.
"He set out to hurt me and I feel lucky that I have not suffered a greater injury," said van Persie. "The contact was only centimeters from my eye. I knew he was aiming for a collision because he changed the angle of his body to allow contact to be made. He moved backwards when his natural momentum would have taken him forward. I find that deeply disrespectful."
Watmore clearly was unhappy with Adebayor's celebration for which the City player received a red card.
"I was pretty unimpressed really because the problems between the Arsenal fans and Adebayor are well documented, and he ran the whole length of the field to celebrate," Watmore said. "So I think we're going to have a good close look at that one on Monday when we see it properly in the cold light of day."
Adebayor was signed in a $40 million-plus transfer deal but a suspension would be disastrous for City.
Brazilian Robinho is out with a stress fracture, and two other summer signings, Carlos Tevez and Roque Santa Cruz, are also injured.