Wayne Rooney this week had his three-match ban for being sent off for England in Montenegro reduced to two games by a UEFA appeals panel. The decision, which means Manchester United forward Rooney will be able to play in England's final Euro 2012 group game, is good news as far as Moyes is concerned and he is pleased for the former Toffees player.
"They had the opportunity to appeal and they were right to do so. But you should see us when we try to appeal - it's absolute murder. That disciplinary committee - trying to get anything done, or get it through there is terrible," said Moyes, speaking ahead of Saturday's Barclays Premier League trip to Arsenal.
Everton had such a case earlier this season when they challenged Jack Rodwell's dismissal in the Merseyside derby defeat to Liverpool.
It proved to be successful, with the red card being rescinded, but Moyes has likened his experience of going in front of the FA to facing a "kangaroo court".
He said: "It was right that the decision was overturned, but we didn't get anything back in terms of people saying they had gotten it wrong, and it had contributed to me losing three points.
"There was very little said after that, but there seems to be quite a lot being said at the moment."
Asked what improvements he would like to see, Moyes said: "It's not down to me - I've got a hard enough job doing my job here. It's up to the FA. They should listen to the managers and hear their point of view.
"We should be given a fair and open opportunity when situations do arise, and I've got to say, the times that I have been in front them, it's like a kangaroo court - you've got no chance."
Source: PA
Source: PA