In the wake of Ireland's tournament-ending 4-0 defeat to
His outburst has caused a stir in Ireland's football circles, with goalkeeper
The 40-year-old was unrepentant, though, using his column in The Sun newspaper to resume his broadside.
"You'll never beat the Irish?" he wrote of a popular terrace chant. "It's time for that song to be put away because, at the moment, everyone is beating them. I'm sick of this 'win, lose, we're on the booze' mentality. It has to change."
Keane notoriously walked out of Ireland's 2002 FIFA World Cup campaign, meaning some fans have refused to give his comments any credence.
But the former Manchester United midfielder is ready to stand by his comments, especially if challenged by players he believes do not deserve their place in the side.
"The likes of (
"They love having a dig back when I say something but I tell you now, I'll be ready if they do because players have to be accountable for how the team did.
"I'm trying to be constructive but the manager and players all have to be accountable. It's not good shrugging our shoulders and having a sing-song."
Keane did seek to clarify his comments about supporters, though, adding: "People seem to have misunderstood me. I've no problems with the fans singing. It's great that they back the team during and before games - but should they really stay on long after the final whistle cheering?"
"There's a danger that the players think that what has happened on the pitch is acceptable, when it's not."
Trapattoni has come in for criticism in some quarters for a perceived safe tactical approach, but Keane believes the problem lies in the fact that the players he has are not in good enough form.
He highlighted the likes of Wolves pair
"A couple of years ago
"Their club form is poor and no player has come out of the two games with any credit. Not one. That's why Giovanni Trapattoni should make 11 changes against
UEFA president Michel Platini said preparations for Euro 2016 were "progressing well" after a meeting of the organising committee in Lille.