The 59-year-old is angry at the Football Association's decision to uphold Andy Carroll's three-match ban, calling the process "flawed" and in need for a fresh approach
The 59-year-old remains angered by the decision to uphold a three-match ban against Andy Carroll, who was controversially sent off against Swansea City last week when referee Howard Webb deemed he had struck Chico Flores with his arm.
An independent tribunal subsequently backed the original decision of the FA's disciplinary panel on Friday, meaning Carroll missed the 2-0 win at Aston Villa, and will sit out the matches against Norwich City on Tuesday and Southampton at the weekend.
West Ham captain Kevin Nolan believes Carroll was the victim of an "injustice" - a sentiment echoed by his boss Allardyce, who has called for a review of the current system.
"I'm upset about the injustice after, as well as the original decision," he said. "I think we've been dealt a total injustice in the game of football.
"We've done all we possibly could to avert that injustice but we have to accept it unfortunately. My only hope is that the referees' system becomes better because that is obviously flawed in this situation.
"I think that the disciplinary hearing can be looked at and become better after that injustice. Of course after we went to the FA and the tribunal scenario I don't know the outcome of that because I wasn't involved.
"Hopefully if I am maybe they will help to get a better system in place because things like that decision should not happen in the professional game as they happen for me."