Cudjoe was born in Huddersfield, West Yorkshire, England and is of Grenadian descent, where his father's family originated.

He made his Super League début in the opening round of the 2008 season against Leeds Rhinos.

Huddersfield would ultimately fall short of a grand final appearance that year.

In round 15 of the 2021 Super League season, he played his 300th match for Huddersfield and scored a try in the club's 40-26 victory over Hull F.C.

[12] On 28 May 2022, Cudjoe played for Huddersfield in their 2022 Challenge Cup Final loss against Wigan.