Conroy, who enjoyed his greatest offensive seasons with the Flames, is a former captain of the team and was twice honored by the organization for his leadership, dedication and humanitarian efforts.

[2] His father Mike played minor league hockey for the Syracuse Blazers and at the age of four years Conroy served as the team's mascot prior to games.

[10] His Clarkson jersey (number 7) was retired in a ceremony prior to a game against College of Holy Cross on October 20, 2012, in which he and his family attended.

At his first day of his first training camp with Montreal, he got into a fight with the team's star goaltender, Patrick Roy, after striking the latter with a slap shot in practice.

[9] He again began 1996–97 in the AHL, but was traded along with Pierre Turgeon and Rory Fitzpatrick to the St. Louis Blues in exchange for Murray Baron, Shayne Corson and a draft pick on October 29, 1996.

While he missed several games with a high ankle sprain,[12] he scored his first career hat-trick on February 26, 1999, against the Calgary Flames and finished sixth in Selke Trophy voting that season.

[2] Looking to improve their team for a playoff run in 2000–01, the Blues dealt Conroy, along with a draft pick, to the Calgary Flames for Cory Stillman.

[14] The trade was initially unpopular in Calgary, as the Flames had given up their leading scorer for Conroy, who noted that that was when he "learned not to read the papers or watch TV.

"[15] Opinion of the deal shifted considerably the following season as Conroy established himself as the Flames' first line center alongside Jarome Iginla.

[19] He reached two milestones that season; he scored his 300th career point against the Vancouver Canucks on November 29, 2003 and played his 600th game against the Detroit Red Wings on March 16, 2004.

Conroy was a key player for the team as they upset the top three seeds in the Western Conference, the Canucks, Red Wings and San Jose Sharks en route to a seventh game loss to the Tampa Bay Lightning in the Stanley Cup Finals.

[2] Conroy left the Flames as a free agent following the playoff run, opting to sign a four-year, US$12 million contract with the Los Angeles Kings.

[23] He later admitted that he did not truly wish to leave the Flames, but facing financial uncertainty with the 2004–05 NHL lockout looming, Conroy chose to accept the guaranteed contract.

[2] Conroy struggled under new coach Marc Crawford early in the 2006–07 season, falling to five goals and 16 points in 52 games for the Kings before he was traded back to the Flames on January 29, 2007, in exchange for Jamie Lundmark and two draft picks.

[1] Conroy and his family chose to remain in Calgary following his retirement as a player, though they had considered other options including returning to his hometown of Potsdam, New York.

[40] Additionally, his teammates voted him the organization's nominee for the King Clancy Memorial Trophy which is awarded to the player who best exemplifies leadership and humanitarian contributions to their community.