Adebayor, 25, has accepted a three-match suspension, which will commence with the United game this weekend, after pleading guilty to the violent conduct charge brought as a result of his foul on Robin van Persie, which left the Dutch forward with facial injuries, during City's 4-2 Eastlands victory last Saturday.
Although City officials believed that they could have mounted a case in Adebayor's defence, the risk of losing such an appeal and possibly receiving a lengthier suspension for the player prompted the club's legal advisers to accept the FA's punishment of a three-game ban.
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The former Arsenal forward will be forced to sit out the United game, plus next Wednesday's Carling Cup tie against Fulham and the Premier League encounter with West Ham at Eastlands on Oct 5.
A club statement said: "Manchester City announce that both the club and Emmanuel Adebayor have reluctantly accepted the violent conduct charge laid by the Football Association in the wake of the victory over Arsenal.
"The player strongly maintains that he did not intend to act in a violent manner. He apologised on the day to Robin van Persie personally and to the wider public for the outcome of the challenge.
"We await the findings of the FA's Disciplinary Panel which is due to meet tomorrow."
City are continuing to explore their options in relation to a separate charge of improper conduct against Adebayor resulting from his goal celebration against his former club, which saw the Togolese forward run the length of the pitch before sliding to his knees in front of the visiting supporters.
The incident prompted unrest amongst the Arsenal contingent, with a City steward being knocked unconscious in the crowd surge that followed.
Adebayor and City have until Sept 30 to respond to that charge and request a personal hearing, but the club are awaiting the outcome of a similar case involving Nottingham Forest forward Nathan Tyson before finalising plans on how to fight the charge, which could result in a further suspension should the FA find Adebayor guilty.