The Tottenham winger has been included in Wales boss Chris Coleman's squad for Wednesday's friendly against the Republic in Cardiff, despite his club boss Andre Villas-Boas stating he is unlikely to be fit for their Premier League opener at Crystal Palace due to a foot injury.
The 24-year-old continues to be linked with a world record move to Spanish giants Madrid but, no matter his talents as a footballer, Trapattoni insists there is no one player who justifies such a vast expenditure.
He said: "Today with the media, and a famous name, the more you speak about players the more the money goes up, especially with all the money in the game.
"I once had a great club president in Gianni Agnelli at Juventus, who was head of Fiat.
"He had a lot of money, but there were situations when he said I could not spend a lot of money because he had many people working for him who were working class. He told me to look for other players. I remember his words like it is today.
"This money (the reported fee for Bale), for me there is no player valued at that much money.
"One player cannot win a game on his own. Even players like Lionel Messi, Cristiano Ronaldo, Pele or Johan Cruyff, all these famous players needed a team."
It remains to be seen whether Bale will play any part at Cardiff City Stadium, but Trapattoni admits he has some empathy with the situation opposite number Coleman finds himself in.
He said: "I had this with many teams when I managed Italy.
"When there is a friendly game, the players are very busy, and Bale is an important player.
"It would be good if he can play, maybe in a friendly my habit would be to guarantee club managers of my intention to only play a player for 45 minutes.
"But it is not my habit to speak about what other managers ask of their players. I don't know what he will do with Bale."
Trapattoni's squad has been heavily hit by injuries ahead of the friendly contest, as the Republic build towards World Cup qualifiers with Sweden and Austria.
Anthony Pilkington, Simon Cox, David Forde, Sean St Ledger, Aiden McGeady and Stephen Quinn are among those absent.
Norwich midfielder Pilkington's knee injury comes after three previous occasions where he has had to with withdraw from the national squad.
But Trapattoni has no doubt Pilkington wants to represent the Republic and the Italian also made it clear he does not believe Pilkington has done anything wrong in not reporting to have his injury checked
He said: "We have a good relationship with our doctor, he knows many club doctors and with Pilkington I also asked Wes (Hoolahan) and he told me his knee is swollen, he has been having injections and he has pain and I am confident about the professional doctor.
"The doctor is important, he is not a manager, it is a specialist position with a big responsibility."
He added: "The clubs pay the players and they can tell them not to report for international duty. I have asked FIFA and UEFA to have rules where when a player is called by his country he must go. But for UEFA and FIFA you cannot take control over the clubs.
"Only if FIFA and UEFA introduce an obligation in the rules can our federation say you have to come here to be checked before you go back. But the club are personal shareholders of the players."