Jack Stephens, the Southampton defender, will face a two-game suspension extension.
Stephens got a red card in the match against Manchester United in the Premier League earlier this season.
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The 30-year-old was dismissed for a high tackle on Alejandro Garnacho, which led to his team being down to ten men for a considerable time.
"I am well aware that what I said was completely unacceptable and below the standard of conduct expected of me," Stephens wrote in a letter to the FA Regulatory Commission.
"I am very embarrassed by my behaviour and want to apologise sincerely for it."
Southampton lost 3-1 to Bournemouth on Monday in Stephens' absence and have not yet won on their Premier League return.