Italian media is obsessed with fears Spain and Croatia will play out a 2-2 draw in the other Group C game and knock out the Azzurri even if they beat the Irish in Poznan.
Such is 73-year-old Trapattoni's standing in the game, though, that no one is questioning his loyalties.
Ireland have been eliminated after two heavy Group C defeats and Monday's swansong in the final group match could be the last major tournament appearance for the likes of 31-year-old Robbie Keane who will not want to bow out with a whimper.
"It would not be fair to the other countries in the group if I did not select my best team," said Trapattoni.
"With this team, and these players, I am proud."
"I know we have to believe right until the end. I don't believe in any suspect goings on," Prandelli said. "It all depends on us, we need to deserve the win, it won't be easy."
A 'mini-league' between the three would be the deciding factor, with Italy having drawn 1-1 with both.
"It's not a matter of fitness, it's more a mental thing," Prandelli said. "This is the mentality we have to change. We are a good team, we've got to believe it a bit more."
Ireland winger Damien Duff may wear the captain's armband to mark his 100th cap for his country while normal skipper Keane said the squad were determined to put on a show.
"The mindset is we are not going home without any points," Keane told reporters.
