He led the team (along with future Chicago Blackhawks teammate and Hockey Hall of Fame inductee Ed Belfour) —widely known during this period as the "Hrkac Circus" (the name rhymes) [3] — to a national championship and his 116 points that season still stands as the NCAA single-season scoring mark.

After two-plus seasons with the Blues, he was traded (along with Greg Millen) to the Quebec Nordiques in exchange for Jeff Brown.

In his NHL career, Hrkac would play for the Blues, Nordiques, San Jose Sharks, Chicago Blackhawks, Dallas Stars, Edmonton Oilers, New York Islanders, Mighty Ducks of Anaheim, and Atlanta Thrashers.

Hrkac's rights were also briefly owned by the Pittsburgh Penguins when they acquired him and Bobby Dollas from the Edmonton Oilers for forward Josef Beranek.

While there were rumors that the St. Louis Blues were seeking to sign him for one last stint with his original team, Hrkac retired after the 2004–05 season.