He is the current International Racquetball Federation (IRF) World Champion in Men's Doubles, winning the title with Coby Iwaasa in 2024.

[11] Murray played in the 2nd Racquetball Canada National Team Selection Event of the 2010–11 season, as it was in Brossard, Québec – his home province.

[12] Murray played Men's Doubles with Jean-Philippe Morin in the 2012 Canadian Championships, and they lost in the Round of 16 to Francis Guillemette and Corey Osborne, 15–6, 15–6.

[14] Murray played in the 2nd Racquetball Canada National Team Selection Event of the 2012–13 season in February 2013 in Brossard, Québec, where he reached the quarterfinals and lost to Coby Iwaasa, 15–13, 16–14.

[15] Murray played Men's Doubles with his older brother Tommy in the 2013 Canadian Championships in Langley, British Columbia, where they finished 4th.

[17] In November 2013, Murray finished 4th at the 1st National Team Selection Event of the 2013–14 season in Winnipeg, where he reached the semi-finals by defeating Tim Landeryou in the quarterfinals, 9–15, 15–12, 11–9, but lost to Vincent Gagnon, 7–15, 15–11, 11–5.

That summer Murray played for Canada at the 2014 Pan American Sports Festival in Guadalajara, Mexico, where he lost in the Round of 16 to team-mate Coby Iwaasa, 15–9, 10–15, 11–3.

[22] In November 2014, Murray was a quarterfinalist at the 1st National Team Selection Event of the 2014–15 season in Kitchener, Ontario, where he lost to Coby Iwaasa, 15–9, 15–10.

Murray reached the finals of Men's Singles at the Canadian Championships for the 1st time in 2015 in Burnaby, British Columbia, where he lost to Coby Iwaasa, 15–10, 12–15, 11–7.

[26] The 2015–16 season saw Murray break through to win his first National Team Selection Event in November 2015, in Brossard, Québec, where he beat Mike Green in the final, 15–10, 15–13.

He reached the quarterfinals with a win over Alexander Pirie of Costa Rica, 15–0, 15–8, but lost in the quarters to the USA's Jake Bredenbeck, 15–1, 13–15, 11–8.

Murray won the 1st National Team Selection event of the 2016–17 season in Valleyfield, Québec, where he defeated James Landeryou, 15–4, 15–4, in the final.

[32] At the 2nd selection event that season in Calgary, Murray defeated Tim Landeryou to reach the final, but lost to Mike Green, 15–12, 15–11.

Murray's best finish was a semi-final in Dayton, Ohio, where he beat Sebastian Franco in the Round of 16, 9–11, 11–5, 11–4, 10–12, 11–6, and Jose Rojas in the quarterfinals, 11–4, 11–6, 3–11, 11–4, before losing in the semis to Rocky Carson, 10–12, 11–0.

[34] In Men's Doubles that year, Murray and Pedro Castro came 3rd, as they lost to Green and Trevor Webb in the semi-finals, 15–13, 4–15, 11–5, but beat Lee Connell and Nathaniel Husulak, 15–9, 16–14.

In singles, he defeated Jose Daniel Ugalde of Ecuador, 15–10, 15–3, in the Round of 16, but lost to the USA's Charlie Pratt in the quarterfinals, 15–2, 15–12.

They beat Argentines Fernando Kurzbard and Shai Manzuri, 15–1, 15–7, in the quarterfinals, but lost Rocky Carson and Sudsy Monchik of the US in the semi-finals, 15–12, 15–2.

[4] The second Racquetball Canada National Team Selection event of 2018–19 was in Grande Prairie, Alberta, where Murray finished on top by defeating Coby Iwaasa, 15–10, 15–10, in the final.

Murray was a member of Team Canada for the 2019 Pan American Racquetball Championships in Barranquilla, Colombia, where he reached an international final for the first time.

They beat Costa Ricans Andres Acuña and Felipe Camacho in the semi-finals, 8–15, 15–1, 11–3, but lost to Bolivians Roland Keller and Conrrado Moscoso, 2–15, 15–9, 11–2, in the final.

En route to the title, Murray beat Javier Mar in the Round of 16, Daniel de la Rosa in the quarterfinals, and Alejandro Landa in the semi-finals.

[56] They lost to Bolivians Roland Keller and Conrrado Moscoso, 9–15, 15–12, 11–4, in the quarterfinals, although they had beaten Bolivia in the group stage of matches.

Murray and Coby Iwaasa won Men's Doubles at the 2022 Pan American Racquetball Championships in Santa Cruz de la Sierra, Bolivia, where they defeated Ecuadorans Juan Francisco Cueva and Jose Daniel Ugalde in the final, 10–15, 15–13, 15–5, 11–15, 11–5.

Murray played doubles with his brother Tommy, and they were the three time defending champions, but lost to Iwaasa and Cullen in the final, 12–10, 11–9, 11–4.

In Men's Doubles, he and Coby Iwaasa defeated the Independent Athletes team of Edwin Galicia and Juan José Salvatierra, 11-9, 8-11, 11-7, 8-11, 11-7,[66] in the semi-finals, and then in the final lost to Mexicans Javier Mar and Rodrigo Montoya, 6-11, 11-7, 12-10, 12-10.

[69] Murray won his 2nd IRT event in January 2024, when he took the 44th Annual Lewis Drug Pro-Am in Sioux Falls, South Dakota.

[72] Murray got a bronze medal in the Men's Team event, as he helped Canada beat Guatemala in the quarterfinals, but they lost to Mexico in the semi-finals.

[1] They defeated Bolivians Kadim Carrasco and Conrrado Moscoso in the semi-finals, 5-11, 12-10, 11-7, 8-11, 11-8, and then Mexicans Andree Parrilla and Eduardo Portillo in the final, 11-5, 6-11, 11-8, 4-11, 11-6.