Marsden joined Celtic two years ago from school and had been attached to Wigan Athletic where he earned a great reputation as a goalscorer.
Celtic moved quickly to offer Marsden professional terms as a 16-year-old which English clubs weren’t allowed to do.
Injuries have limited his opportunities at Celtic with Hamilton able to offer him regular football and the chance to progress towards the first team.
James Keatings has been the first choice striker for the Celtic u-19 side this season with Liam Gormley and Bahrudin Atajic appearing as substitutes.
Last season’s top scorer Greig Spence is currently out injured.