The Spartak Moscow winger becomes the fifth player to withdraw from Giovanni Trapattoni's squad for next week's friendly with Wales at the Cardiff City Stadium through injury
The 27-year-old picked up the injury during a training session with Spartak Moscow, according to the FAI statement issued this morning.
McGeady becomes the fifth player in the space of three days to pull out of the squad for the encounter with Chris Coleman's side after David Forde, Stephen Quinn, Anthony Pilkington and Simon Cox all withdrew through injury.
The news that the winger, who has heavily been linked with a move to Everton, has come as a blow to Trapattoni who faces working with a depleted squad when the team meet up in Newport on Sunday.
The Italian tactician was hoping to use the game at the Cardiff City Stadium as preparation for the Boys in Green's crucial World Cup qualifying double-header in September but with a host of his first-choice players missing, Trapattoni will have to re-access his options.
Despite placing Yeovil Town striker Paddy Madden on standby, the FAI have yet to name any replacements for the injured withdrawls.