Dubem Eze made his debut for Norwich City Under-18s in the 1-0 defeat to West Brom on 30th October 2021. He was previously with Chelsea and Derby, joining the latter at the end of the 2020/21 season. He is from eastern Nigeria and is eligible to play for Nigeria.

He signed for Norwich on a scholarship deal on 8th December 2021 and will join up with the Under-18s for whom he had played twice.

On 31st May 2023 it was announced that he would be signing a professional contract with Norwich on 1st July 2023.

At the end of March 2024 he was loaned to Warrington Town as there was only three more games for Norwich's Under-21s. He made his debut against Scunthorpe.

On 20th May 2024 Norwich announced that Eze would be leaving the club. He then signed on 3rd July 2024 for League One side Bolton following a trial and will initially play for the club's B team.