What we know so far is that Claudio Ranieri and Stefano Pioli refused to train the Italian national team. I assume they aren't sure if it is possible to save Italy and make it qualify to FIFA World Cup.
Gattuso isn't the best coach and he already failed with Marseille, yet he will have a better selection with the national team and he will most likely has few good pals helping him like Leonardo Bonucci, Gianluca Zambrotta and Simone Perrotta.
Sacking of Luciano Spalletti was wrong decision by the Italian federation because he can do better in coming days just one defeat has surely never been problem while things were on their lowest level for Italy now they are looking for spot into World Cup 2026 but this defeat and change of coach create some doubts on their chances.
Few big names already rejected this chance while few not considered even they were looking much better than Gattuso who is having first time at this job while his record in clubs are also not good which can give any encouragement for Italians to have better chance of qualification. Gattuso had not enough time for doing things on balance which is the problem for him, but they can do some good in coming matches which will surely give them good confidence if they are able to have better results and chance of qualification.