Carroll was shown a straight red after catching Swansea defender Chico Flores with his elbow after an aerial duel, but replays show that the striker showed no intent whatsoever.
The Hammers were impressive going forward when Carroll was on the pitch with the big Geordie setting up both of Kevin Nolan’s goals in a crucial 2-0 victory over the Welsh side.
Allardyce was furious with the decision to send off their key man and with winnable games coming up the Hammers boss has appealed the decision.
“The cruellest and biggest blow that will be paid to me and West Ham is if there is the injustice when we appeal against the red card,” said Allardyce.
“There has to be somebody to look at that in the cold light of day and say that is certainly not a red card.”
“The last thing we want is to lose Andy Carroll for three games for a nothing incident.
“We hope when the appeal goes in they see it the same way.
“It’s a shame we cannot get through a game without somebody getting injured or sent off.”