Galbraith played for Carnmoney Colts, Ballyclare Comrades, Glentoran, Crusaders and Linfield in his youth.

[6] On 28 November 2019, he made his senior debut in a UEFA Europa League match against Kazakh team Astana, coming on as an 89th-minute substitute for Tahith Chong.

[12] On 1 September 2022, Galbraith joined League Two side Salford City on a season-long loan, managed by former United youth coach Neil Wood.

[17] Galbraith made his senior international debut at the age of 18 on 5 September 2019, in a friendly match against Luxembourg which finished as a 1–0 win.

[18] Northern Ireland manager Ian Baraclough described Galbraith as the country's version of Spanish international midfielders Xavi and Andrés Iniesta.