Liam Brady and Richard Dunne were both left fuming and slammed the decision to allow France's winning goal to stand as they beat Republic of Ireland in extra-time.
Robbie Keane's first-half goal had sent the match into additional time, but in the first period of extra-time Thierry Henry handled in the box to set-up William Gallas to head home the winner.
But Ireland have been left seething with the decision to allow the goal to stand.
"From the 120 minutes, they [Ireland's players] deserved to win and it is a shameful day for football when something like that happens," Irish assistant boss Brady told Sky Sports News.
"When it comes to the crunch, the big teams always seem to go through. With the draw, they were wanting Portugal and France to go through and they did."
Richard Dunne was equally angered by the decision.
"It's ridiculous. Unfortunately it's what we thought was going to happen, where the World Cup is run by people who decide who get there so it's difficult to take," he said.
"It's not even a hard decision when you look at it.
"I mean there's two reasons why it should have been disallowed. He's probably given us a couple of decisions during the game and felt he had to give the French team a big one. They're the orders he's given and that's the way he goes.
"The referee said he was 100 per cent that he didn't handle it and then Thierry Henry came and told us that he did. I think it's quite blatant we were cheated.
"The linesman is in line with it and he should give offside to start with. Surely one of them can see that he's handled it, everyone else has seen it. It's one of those that wouldn't even need a replay.
"At the stage of the game and the way it was going, it's the biggest decision I've ever suffered. We deserved to win the game, we could have scored a couple of more goals. "It's one of those things. It gives them a lift and knocks the stuffing out of it. To give big decisions on that in big games is wrong. Platini wants France there.
"The referee spoiled his own performance, not ours. We can be proud of the way we performed and pleased with the effort and the result after 90 minutes gives us hope and encouragement for the next campaign. It's just disappointing.
"The manager is not happy, understandably. I'm sure there'll be repercussions. But as players there's nothing we can do. They probably wouldn't even answer the phone to the FAI. They're all celebrating. Fifa run this thing."
Should Fifa use video evidence to charge Thierry Henry over his part in France's goal against Rep of Ireland?