Inter were heading for an early exit before fighting back to win 3-2 away to Bayern Munich.
"I have to say that all of Italy's football fans should be happy tonight," said the midfielder.
"Having an Italian team in the Champions League quarter-finals is important for the whole country."
Inter are the only remaining Serie A representatives in Europe and squeezed past Bayern on away goals.
"We knew it was going to be a difficult game, but we believed and we did it. We have to believe in ourselves and our football, as we have within us great strength and desire."