Published Saturday, 16 June 2012
Republic of Ireland boss Giovanni Trapattoni hit out at Keane's comments. (© Getty)
Keane gave his view as a pundit on UTV following Thursday's 4-0 loss to Spain, saying there needed to be change of mentality amongst players and fans.
Irish supporters serenaded the team from the stands at the PGE Arena in Gdansk after watching the thumping by the defending champions, which ended their Euro hopes.
The 73-year-old manager hit back at Keane's withering assessment.
"Roy Keane was a very great player," said Trapattoni. "We know Ireland, when we played against him, was a strong team. This generation was very hard.
It is not my habit to be critical of other colleagues as coaches or managers, but what has he done after he finished playing?
"The players were strong in his time, playing at Manchester United, playing at Celtic, playing everywhere. They were a strong team.
"Roy Keane was a great player, a very great player. He obtained very great results as a player. Now he is a coach he should just stick to focusing on getting results as a coach."
Keane, who famously returned early from the 2002 World Cup finals in protest at Ireland's preparations, was annoyed by the scenes at the end of the game.
"It's a reality check for a lot of the Irish players," he said. "I think a lot of them think they are top players, and it goes to show that they are so far behind a lot of these players.
"I think the players and even the supporters, they all have to change their mentality. It's just nonsense from players speaking after the games about how great the supporters are.
"Listen, the supporters want to see the team doing a lot better and not giving daft goals away like that. I'm not too happy with all that nonsense.
"To praise the supporters for sake of it...let's change that attitude towards Irish supporters.
"They want to see the team winning - let's not kid ourselves, we are a small country, we are up against it, but let's not just go along for the sing-song every now and again."
Thousands of Irish fans travelled to Poland for the Republic's first major tournament in a decade, earning praise from the team and also Spain boss Vicente Del Bosque.