 Zorzi's first major success was at the 2000 Cross-Country Skiing World Cup, where he finished in second place.At the 2002 Winter Olympics in Salt Lake City, he won a silver medal in the 4 × 10 km relay and a bronze in the individual sprint.At the 2006 Winter Olympics in Turin, he was the anchor on the Italian 4 × 10 km relay team that won the gold medal in those games.