Murashov is a former Ice hockey player in the Moscow club "Chemist" Voskresensk until he was 15 years old when he switched to training speed skating in Kolomna.

At the Final of the World Cup in Erfurt, Germany, he won the gold clocking a time in 34.97; the results placed him 3rd in the overall rankings for the 2014–15 Season behind Canadian Laurent Dubreuil in men's 500m.

Murashov opened his season finishing 7th in men's 500m and a bronze in Team Sprint (with Aleksey Yesin and Artyom Kuznetsov) at the 2015–16 ISU Speed Skating World Cup in Calgary.

On 11–14 February, at the 2016 World Single Distance Speed Skating Championships in Kolomna, Murashov won the silver medal in men's 500 m behind teammate Pavel Kulizhnikov.

[3] Murashov then competed at the 2016 World Sprint Speed Skating Championships in Seoul, South Korea and finished 11th in the overall classification.