Manchester United skipper, Keane, announced his return to the Ireland squad earlier this week after two years in international exile.
Keane had been Ireland captain until he walked out prior to the 2002 World Cup due to a fall out with former Republic of Ireland manager Mick McCarthy.
Kenny has been Ireland's captain since the 2002 World Cup, but he has revealed that he would be willing to hand over his captain role to Roy Keane, if Brian Kerr decides to do so.
"It is an issue for the manager to decide. I was fortunate enough to receive the honour of captaining my country from Mick McCarthy and upon Brian Kerr's appointment," Cunningham told The Sun.
"I always considered it a great honour to lead out the team, but if Brian asks me to give the armband to anybody else, then I'll give it. No question."
Cunningham admitted Ireland had missed Roy Keane…
"Roy has been a massive influence on the pitch in the many games I've played alongside him."
"He has a great presence. He leads by example. We will benefit from having him there in the World Cup qualifiers."