City spokesman Paul Tyrrell said: "It is deeply disappointing that the Football Association have decided to charge Joey Barton with improper conduct.
"The player accepts that some elements of his behaviour following the game with Everton were ill advised and he apologises to anybody who may have felt offended. He has been reminded of his responsibilities as a custodian of this football club but we do not believe his actions warrant any further investigation. It is our firm opinion that the matter should end there.
"We believe the FA should have taken into account the context of the incident and noted he behaved without any malice, and in a light-hearted manner.
"Joey wishes to thank the many Evertonians, City supporters and general football fans who have contacted the club this week with messages of support."
Merseyside Police have already confirmed they will not be taking any further action after investigating the incident.