Zubov recorded 771 points (152-619=771) in 1,068 regular-season contests over 16 NHL seasons for the Dallas Stars, Pittsburgh Penguins and New York Rangers. His 771 points are the second most-ever recorded by a Russian-born defenseman and the 20th-most by a blueliner in NHL history. Zubov spent 12 of his 16 NHL seasons as a member of the Stars, registering 549 points (111-438=549) in 839 regular-season contests. Among franchise leaders (1967-present), the blueliner ranks third in assists (438), fourth in plus/minus rating (+103) and games played (839) and seventh in points (549). Zubov is the franchise leader among defensemen in numerous statistical categories including points (549), goals (111), assists (438), games played (839), power play goals (60), plus/minus (+103) and shots on goal (1,694).
The native of Moscow, Russia qualified for the Stanley Cup Playoffs in 13 of 16 NHL campaigns and registered 117 points (24-93=117) in 164 career postseason contests. Zubov won the Stanley Cup in 1994 with the New York Rangers, finishing the 1994 postseason tied for seventh in the NHL and ranking second among League defensemen with 19 points (5-14=19) in 22 contests. With Dallas, he tallied 72 points (15-57=72) in 114 Stanley Cup Playoff games and helped the club win the Stanley Cup in 1999 and return to the Stanley Cup Final in 2000. Among franchise leaders in the postseason, he ranks first in plus/minus (+18), second in assists (57), third in games played (114), fifth in points (72) and is tied for seventh in power play goals (9).
Over his career, Zubov made three appearances in the NHL All-Star Game (1998, 1999, 2000) and was selected to the 2005-06 NHL Second All-Star Team. He played on the international stage on numerous occasions, including winning a gold medal as a member of the Unified Team at the 1992 Winter Olympics in Albertville, France.