The Italian tactician has opted not to re-call the veteran goalkeeper in order to give other players a taste of international football against Poland in February
The 36-year-old Aston Villa goalkeeper retired from international football in August 2012 in order to concentrate on his club career but recently indicated a desire to return to the Ireland set up.
However, Trapattoni has opted not to include the veteran shot-stopper, in order to facilitate Given's former understudies. Speaking after the squad announcement for the Poland game, Trapattoni said that he had 'an obligation to move things on.'
"No, I feel that I have to give experience to the likes of [David] Forde, [Keiren] Westwood, [Darren] Randolph and certainly I have the utmost respect for Shay," Trapattoni told reporters.
"He's made it clear that if we require him he will be there, but I have said to Shay directly that we do have an obligation to move things on and give younger players experience, it's very important that we develop that, particularly with these friendly matches.
"We're confident in Westwood's ability and we also have Forde and he gives us a good bit of confidence."
Meanwhile, according to Aston Villa boss Paul Lambert, doubts remain over the fitness of Richard Dunne, who has been placed on standby by Trapattoni for the game against Poland on February 6.
"Richard did some training with us on Friday and Sunday," said the Villa manager. "The good thing for us is that he is out there training. But we will have to wait and see when he can resume playing."