Wolves have decided against appealing the red card shown to Karl Henry against Arsenal on Saturday.
The Wolves skipper had branded his dismissal in the 1-0 defeat at the Emirates Stadium as "disgraceful".
He was shown a 66th minute red card by referee Andre Marriner following a tackle on Arsenal's Tomas Rosicky.
But although agreeing with his skipper's sentiment, manager Mick McCarthy doesn't believe an appeal will result in the card being rescinded.
"Having spoken to a lot of different people over the weekend, including a number of ex-referees, I haven't found anyone yet who thinks that Karl should have been sent off," he told the club's official website.
"And that seems to be a view shared by those who have seen the incident on television as well.
"But having also sought advice in terms of the appeal process, we have decided to accept the punishment as it stands.
"The FA's Regulatory Commission will only uphold a claim for wrongful dismissal if they judge that the referee has committed a "serious and obvious error."
"Under that wording, I have been advised that any appeal would be very unlikely to succeed.
"And if the commission also have the right to lengthen any suspension to twice the initial ruling if they believe an appeal was made which didn't have any chance of success."