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.
I am not a fan of Rino Gattuso either, i repeat and i repeat. At least he was the only one with enough courage and balls to accept a difficult and impossible mission. This is why i say that as a man with his iron will that allowed him to achieve results, he could do it. It does not depend only on him, there is little time.