Dundee United confirmed in a statement that they had submitted an appeal to the Scottish Football Association after their manager was given an immediate three-game ban with a further two suspended until the end of next season.
McNamara was punished for misconduct by "repeated use of offensive, insulting and abusive language" after his touchline row with the St Johnstone manager Tommy Wright during a 1-0 home defeat at Tannadice on March 12.
McNamara was unable to attend the Hampden hearing on Thursday as it clashed with his team's training session and the SFA would not move the disciplinary panel meeting until later in the day.
Wright, who did attend the hearing, was handed a suspended one-match ban after admitting misconduct by "leaving the technical area in the absence of special circumstances and by adopting a threatening and aggressive attitude towards an opposing member of team staff".
n The former Dundee United, Celtic and Middlesbrough goalkeeper Rolando Ugolini has died at the age of 89 at his Edinburgh home.