The tournament marked the end of Nick Mallett's reign as Italy coach, with former Perpignan boss Jacques Brunel set to take over for the 2012 RBS 6 Nations.
But having made his first appearance for Treviso in Saturday's RaboDirect Pro12 thumping of the Newport Gwent Dragons, Zanni insists his sole focus is on helping his club side maintain their play-off charge.
"After the World Cup us international players wanted to impress in front of our home crowd, I have to say the coaching staff helped us a lot in the reintegration of the squad," said Zanni.
"We've all worked really hard and the result was a fantastic all-round performance.
"We made some mistakes, myself included, especially in defence. We'll analyse them to improve but now we're concentrating on Edinburgh.
"Every team offers different challenges, they come to Treviso knowing that a good team awaits them. For that reason we have to prepare well this week, looking at the three tries we conceded. But I would say we should enjoy the win a little.
"We are better off thinking of ourselves, not the others. If we can maintain this enthusiasm I don't think we'll have too many problems in the future."