John Delaney has explained the governing body's decision to keep the veteran coach, despite the fact that a meeting was held to discuss his position
The FAI held a meeting earlier this week to discuss whether they would part company with the veteran coach following a series of bad results, and the official has revealed that the players' support was one of the main reasons for the governing body to stick with the Italian.
"It's important to know that the players wanted Trapattoni to stay. It was an important piece of information - not a determining factor but it's important," Delaney told The Irish Independent.
"Were it the other way around, it's obviously a negative. The fact that the players wanted him to stay in broad terms is a positive."
The players' support was not the only reason for the FAI's decision to retain Trapattoni, however, as Irish football's governing body is satisfied with the Italian's work.
"If you look at it , he's been successful to date. We've been third seeds twice. His first two terms were successful. He achieved what he set out do.
"We had to sit as a board, and look at it in the cold light of day - we had six points out of nine. Not many managers in Europe would be let go having had six points out of nine.
"He's not a novice manager, he's an experienced manager, and has been through these situations before. When you add it all together the board took a view there are strong arguments to keep him."
Trapattoni is expected to attend Saturday's game between Arsenal and Norwich City to scout Wesley Hoolahan, Marc Tierney and Anthony Pilkington.