Malky Mackay has admitted sending text messages that were "disrespectful of other cultures", but said they were "part of friendly banter".
The Scot and Iain Moody are alleged to have shared racist, sexist and homophobic text messages in claims sent by the pair's former club Cardiff City to the FA.
The League Managers' Association issued a statement on Mackay's behalf saying: ''If Malky has caused any offence by these two isolated matters he would wish to sincerely apologise.''
The statement admitted two messages Mackay sent were "disrespectful of other cultures''.
''These were...sent in private at a time Malky felt under great pressure and when he was letting off steam to a friend during some friendly text message banter," it added.
More top news
Controversial columnist Katie Hopkins has described her fear that she may die during brain surgery to cure her epilepsy.
A funeral is to be held outside in the US state of Georgia for Bobbi Kristina Brown, daughter of the late Whitney Houston and Bobbi Brown.
Experts have warned that Ash dieback's impact on millions of trees could have serious consequences for the landscape and wildlife.