Following an outstanding high school hockey career at Minneapolis Southwest High School, Chorske was named Mr. Hockey as the state's most outstanding high school player 1985, the inaugural year for the award. Soon after, Tom was selected by the Montreal Canadiens 16th overall in the 1985 NHL Entry Draft.

After being drafted, Chorske played two seasons of NCAA hockey at the University of Minnesota followed by a year playing with the 1987–88 US National Team preparing for the Winter Olympics in Calgary. Unfortunately, Chorske was the last player cut from the team as they headed to Calgary for the Olympics. Tom returned to the University of Minnesota for the 1988–89 season and was instrumental in the team's success that year.

In 1989–90, Chorske played 14 games with the Montreal Canadiens, scoring three goals and an assist. After another season in Montreal, he joined the New Jersey Devils, playing 76 games in 1991–92, scoring 19 goals and 36 points. In 1993–94, he had his finest offensive year, scoring 21 goals and 41 points but it was the following season which was by far the most satisfying for Chorske, his teammates and fans of the Devils. After several years of being near the top of the NHL, the Devils finally put it all together in the spring of 1995, defeating the Detroit Red Wings in four straight games to claim the Stanley Cup.

In 1995–96, Chorske joined the Ottawa Senators where he played for two seasons and helped them make their first modern era playoff appearance in 1997. He then headed to New York to suit up for the Islanders where he scored 35 points, including 4 short-handed tallies. During the 1998–99 season, he was sent to the Washington Capitals but had abdominal surgery and was limited to 17 games before finally ending up in Calgary at the trade deadline. In 1999–2000, Chorske played 33 games with the Pittsburgh Penguins, his final stop in the NHL. In 2000–01, he appeared in 78 games for the Houston Aeros of the now defunct International Hockey League, scoring 27 goals and 52 points.

Chorske's NHL totals were 596 games, 115 goals, 122 assists, for 237 points. Overall, he played in 733 professional games before retiring. He also played on several Team USA World Championship teams, twice winning bronze medals.

Chorske played quarterback for Minneapolis Southwest High School football team in 1984 and 1985. He was named to his high school all-conference first team in 1984–85 and named the inaugural Mr Hockey in 1985 as Minnesota's top senior high school hockey player.

He competed in 1985 U.S. National Sports Festival in Baton Rouge, La. and played on first U.S. team to win a medal at World Junior Championships when he won bronze medal in 1986. He also competed in 1986 U.S. National Sports Festival in Houston.

In college, he tied for the University of Minnesota (WCHA) scoring title with 49 points and was All-WCHA First Team in 1988–89. He left the University of Minnesota after his junior year to pursue pro hockey career with the Montreal Canadiens. He was on Montreal team that joined Minnesota to compete in the 1990 NHL Friendship Tour in Soviet Union.

During the 1994–95 NHL lockout, he played in Italy.

Chorske retired from hockey in 2002 and returned to University of Minnesota to complete his undergraduate degree. He was later hired as an analyst for Fox Sports North for the NHL Minnesota Wild and University of Minnesota Gopher's Hockey broadcasts in October 2010 until 2020. He also makes regular appearances on Twin Cities sports radio programs and the Minnesota State High School hockey tournament broadcasts.

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• Biographical information and career statistics from NHL.com, or Eliteprospects.com, or Hockey-Reference.com, or The Internet Hockey Database