Republic of Ireland assistant manager joked that FAI CEO John Delaney is again a distraction but refused to be drawn on the last Fifa revelations.
Delaney and Fifa both confirmed that a $5m payment was made to the Association following Thierry Henry's infamous handball in 2009.
Speaking at Ireland's training session in Malahide this morning, he was asked if the FAI chief was creating further headlines following the payment revelation.
"'John Delaney - isn't he always a distraction?," he joked.
"To be honest, the players have hardly spoken about it. I spoke briefly this morning about it to the staff, but we are focused on the match and that is what I am here to talk about. The focus has to be on the match."
Keane described former disgraced FIFA vice-chairman Jack Warner as a "disgrace" in 2008 and was asked if he had any further grievances with him.
"I have had issues with everyone," he joked.
Roy Keane has studiously avoided being drawn into the brewing crisis currently engulfing FIFA.
Keane was keeping his own counsel in Malahide on Friday when he addressed the media a day after it was confirmed that the Football Association of Ireland has received millions of Euros from the game's governing body in an agreement which headed off a legal battle over Thierry Henry's role in the nation's World Cup play-off defeat by France in 2009.
Keane, whose reputation for plain-speaking goes before him, was unusually reticent on the matter, preferring instead to concentrate on Sunday's friendly against England and preparations for the Euro 2016 qualifier against Scotland on June 13.
When asked about the FIFA situation, Keane replied: "Do you know what? Not today, I'm not in the mood for all that stuff today. If you want to ask me about the games coming up and the players we have, no problem.
"But I'm not going into the FIFA stuff. I'm here to work with the players and focus on the games coming up, so I'm not going there with that one."
Thursday's developments, in which both FAI chief executive John Delaney and FIFA confirmed that a five million Euros payment had been made, dragged Ireland into the thick of a story which continues to make global headlines.
But asked about that aspect, Keane was equally unforthcoming.
He said: "It's the same answer to that. I'm the assistant manager, I'm here to work with the players and help the team get ready for Sunday.
"We have had a few nice days already, it's crunch-time coming up for us, so that's the only focus for me."
Keane and Delaney have not always seen eye-to-eye, although both insist old wounds have healed since the former Manchester United skipper was drafted in to work under manager Martin O'Neill.
But when asked if the chief executive was a distraction, the 43-year-old did crack a smile.
He said: "Isn't he always?
"No, no, this is the last time I'm going to say it: if you want to talk about the games coming up, no problem; if you don't want to talk about the games, I'll leave you to it, no problem."
There was humour too when the name of former FIFA vice-president Jack Warner, once described by then Sunderland manager Keane as "a clown", was raised.
He said: "I have had issues with everybody. Again, if you want to talk about the game, no problem; if you want to talk about all the other stuff, you are talking to the wrong man."
If sports news around the world has been dominated by the FIFA story in recent days, it appears to have barely warranted a mention at the Republic's Portmarnock base or Gannon Park training headquarters.
Asked if the players had been affected by it, Keane said: "No, I don't think so, I wouldn't have thought so. I think they've got other more important things to worry about.
"The players aren't in control of any of that stuff, who's running the game and what's going on, what's supposed to be going on.
"The players have enough on their plates getting focussed. Three games in nine, 10 days just takes care of itself. You are either focussing on the game or you are getting your recovery like today, and before we know it, we are into the England game and with it being an early kick-off on Sunday, you are bang into it, you are not hanging around all day, and then the Scotland game...
"I'd be surprised. I know if I was a player at the moment and all that was going on, it wouldn't concern me too much.
"You have to get your priorities right, and that's getting focussed for a big game of international football where there's a lot at stake for everybody.
"Put it this way: we have not even discussed it. We have had one or two chats with the staff, but when we are chatting with the players, it doesn't come into it."