Gershon Rawlings, 33, argued that his ethnicity made him more likely to suffer than other troops.
According to the SunUK, his lawyers claim he suffered numbness and tingling in his feet after being made to sleep outdoors in a waterproof poncho.
In a writ filed at the High Court in London, Mr Rawlings says he was forced to remain out in ‘very cold and wet’ conditions during the two-week exercise.
The experience, in October 2013, left him with ‘disadvantages’ which have limited his chance of getting another job, the writ claims.
When Mr Rawlings complained at the time of the exercise his Royal Artillery sergeant told him other soldiers were also cold and he should ‘man up’, it is alleged.
Mr Rawlings’ legal team claims the Army’s failings have left their client ‘disadvantaged’ over future jobs and ended his military career.
The case comes just months after Abdoulie Bojang, who was born in the Gambia, launched a claim against the MoD after suffering cold injuries in Banff, Canada, where temperatures dip to minus 22F (minus 30C).