By Hibernian FC

Murray was given his first team debut for Hibernian in a 2016–17 Scottish Challenge Cup tie against Highland League club Turriff United, in September 2016. He scored the first goal in a 3–0 win for Hibs. Later in the season, he made his league debut in a 3–2 win against Raith Rovers.

In September 2020, Murray joined Scottish Championship side Dunfermline Athletic on a season-long loan. Murray scored his first goals for Dunfermline in a 3–0 win at Kilmarnock on 13 October.

Fraser has now completed a 2 year move to Kilmarnock as they look to rebuild and return to Premiership football.

Sporting Director, Graeme Mathie commented, “Fraser has been part of Hibernian for a number of years now and is an Academy graduate who has progressed to making 30 appearances in the First Team.

He’s a very popular member of the squad who is well liked by everyone at HTC. The opportunity for him to join Kilmarnock and – most importantly – to have the opportunity to play regular First Team football was one we all agreed was right for him at this stage in his career, with Hibernian retaining an interest in his progression. Everyone at Hibernian wishes Fraser every success for the next stage in his career and is thankful to him for his contributions to the Club since he joined as a youth”

Everyone at the Club wishes Fraser well at Kilmarnock!