Gattuso, known to us as Rino, is a very strong-willed person and very consistent in achieving his goals.
And what goals did he achieve?
Palermo - sacked!
Pisa - sacked!
Napoli - sacked!
Valencia - sacked!
Marseille - sacked!
Special mention that in one of his few tries, when he managed to stay for more than half a season without getting kicked out, was when he managed to cling to his seat at AC Milan, where he finished 6th and then 5th.
He hasn't achieved anything, and with how the Italian team looks right now, prepare for more disappointments!
I'm not a Gattuso's fan (at least as a coach, I really respected him as a player) but, to be fair, he always went to teams that were dealing with extremely complicate situations, especially at management level. He's not afraid of being fired but he always was in the middle of a mess. Those teams kept changing coaches even before and after Gattuso.
Regarding the national team, as I already said I don't have any particular expectation, I simply hope that he can somehow wake the players up and make them understand that they are wearing the jersey of a national team that won four World Cups during its history. We need players who would die for the national team. Gattuso was one of those. We have several problems but the poor mentality is probably the main one right now.