But the player, who was taken off at half-time on Saturday, insists the players will refocus their efforts on securing European football.
The former Manchester United star, 36, accepts hopes of Champions League qualification, which remained a tantalising prospect for much of the season, are distant.
And he said: "It was a disastrous weekend for us. It was a disastrous performance and there is no hiding away from it.
"Personally I was embarrassed by my own performance, it wasn't good enough as a captain and all the lads feel the same.
"We can't hide away from the fact that we have to take our medicine now, take the criticism that comes our way.
"We really felt this was going to be our year in the FA Cup but we were beaten on the day by a team that was better than us.
"Sometimes you can lose cup ties and you can be unlucky but there was no `unlucky' about it on Saturday, we were well and truly beaten and we need to put that right.
"We have got two months left in the season and we have to bounce back and get a reaction.
"That's what the manager wants and I'm confident in the group of players that I share a dressing room with that we will do that.
"The Champions League place is in the distance: a European place, we would take that now."
- Sports & Recreation