Joe Cole's red card on his home debut for Liverpool will stand after the club did not appeal before this afternoon's deadline.
The Football Association confirmed the Reds had not contested Cole's controversial dismissal against Arsenal by 1pm BST on Monday, meaning he will serve a three-match ban.
Cole was shown a straight red card for a reckless challenge on Laurent Koscielny in first-half injury-time of the 1-1 Premier League draw at Anfield on Sunday.
New Liverpool boss Roy Hodgson felt the verdict was harsh and the club were considering whether to appeal.
"We now have the benefit of replays on the TV and those replays suggest to me he was a little bit unlucky," Hodgson said in the immediate aftermath of the game.
But the club have decided not to appeal and will therefore be without Cole for their Premier League matches against Manchester City, West Brom and Birmingham.
The England midfielder will, however, be available for Thursday's Europa League play-off round first leg with Trabzonspor and the second leg the following week.
"Roy Hodgson said after the game that the club would analyse the incident before deciding whether to lodge an appeal," Liverpool confirmed on their official website.
"Liverpool have now chosen not to take the matter further, meaning Cole will miss clashes against Manchester City, West Bromwich Albion and Birmingham City.''