Aebischer played 26 games during his rookie season with Colorado. Aebischer made his NHL debut, and first NHL start on October 18, 2000 against the Columbus Blue Jackets in Columbus for his first NHL victory. On October 26, 2000 in his second career start, Aebischer shut out the Chicago Blackhawks in Chicago for his first NHL career shutout. The year would prove a successful one, as Roy backstopped the Avalanche to their second Stanley Cup championship, defeating the New Jersey Devils in a seven-game final series. With the win, Aebischer became the first Swiss hockey player to win the Stanley Cup.