Keane backs O'Neill to take over Ireland reins
Keane (42), who was back on home turf to present the Mayfield East Community Awards, said he had not been approached about the vacancy.
"I have not thought about it too much. I have more important things to be worried about," he said.
He did offer the opinion, however, that the next manager will inherit a reasonable enough situation despite Ireland's struggles in the World Cup campaign.
"I don't think it is as bad as everyone is making out. There are young players coming through and it is a good job for a manager. Definitely," he said.
"A lot of managers have been linked with it. A lot of good managers. I would find it hard to disagree with it – I don't know about the favourites. I know a little bit about Martin O'Neill and I think Martin would be a very, very good choice."
"I think the FAI have done the right thing in stepping back, taking their time and seeing what is out there," continued Keane. "But I think Martin would be a very good guy for the job."
Keane added he wasn't flattered that his name was being linked with the job, saying: "No, not really. I shouldn't be flattered by that, should I?"
"There are a lot of good managers out there out of work. I think the FAI has done the right thing in stepping back. It is as simple as that."
"Hopefully it will be a Cork win. It was brilliant, the last game. I really enjoyed it. I have not had that much fun for a good few years and hopefully Cork will do it."
MCA official Eddie Carey said they were "absolutely thrilled" that the star agreed to attend their awards night and receive a Hall of Fame tribute.
"It is nice to give a bit back. I am from Mayfield. I was born and reared here. I was married here," Keane said. "The kids were christened here.
"Sometimes Mayfield gets a bad reputation and I think it is unfair. There are a lot of good people in the community here and that is why I am here tonight, to show my appreciation."