I first became aware of Bobby Copping when he was part of Norwich City's Under 9s squad in 2010/11. After being spotted playing for Dereham Wanderers and Swanton Morley, he sprent nine years with Norwich's Academy.

He joined Bury's youth team signing a two year scholarship in the summer of 2018. In February 2019, he made his debut for the Shakers' under-23s team at just 16 and became an important player as the youngsters reached the quarter-finals of the 2018-19 FA Youth Cup. he also played for the first team in the Lancashire Senior Cup.

On Bury;s demnise and expulsion from the Football League in August 2019, he was left without a club.He trialled for Brighton's Under-23s before signing a two year contract with Peterborough on 1st October 2019.

On 17th March 2020 Copping joined Southern League side Peterborough Sports on loan

On 18th February 2021 it was announced that Copping was forced to retire from football at the age of 19 because of a recurring head injury. Copping made a full recovery after spending four days in hospital with a head injury in July 2020 but suffered the same problem later in the year. Copping says he has problems on a "day to day basis", and agreed with Peterborough and a specialist he should retire from the game for his long-term health.

He accepted an offer to stay with the League One club in a business operations role with the academy.