 He achieved 50 goals in a season in four consecutive years, starting with the 1982–83 season, and became one of the centrepieces of the team along with the Šťastný brothers.During the 1989–90 season, a season in which the Nordiques ended up with a record of 12 wins, 61 losses and 7 ties and followed two years where the club failed to make the playoffs, Goulet was traded to the Chicago Blackhawks, along with goalie Greg Millen and a sixth round pick at 1991 NHL entry draft, for Everett Sanipass, Daniel Vincelette and Mario Doyon.While playing against the Canadiens at the Montreal Forum on March 16, 1994, Goulet crashed into the end boards striking his head and suffered a severe concussion forcing him into retirement and having to cope with post-trauma symptoms.