Bristol Rovers full back Graeme Power came to Carrow Road in the summer of 1998 after being released by the Pirates. He played in two Reserve team friendlies (against Sudbury Wanderers and Heybridge Swifts) before joining Third Division Exeter City. Graeme began his career with QPR but moved to Bristol without making any appearances for Rangers. He had made 26 appearances for Rovers before his departure. He also won English Schools honours.

Graeme was placed on the transfer list by Exeter on 9th May 2000 but still made 35 appearances during 2000/01 ! He stayed with the club for another two seasons but following Exeter's relegation to the Conference in May 2003, he was released by the Grecians. He had made 32 appearances during the 2002/03 season, bringing his total up to 171, so his departure came as a surprise. During the summer of 2003, Graeme had a trial with Bath City but he ended up joining Tiverton Town in September 2003. Tiverton released him in January 2004 although Power claims this was due to a pay dispute in which he was not getting a fair wage. He quickly signed for Weymouth. After just three months, Graeme moved agan signing for Bath City at the end of March 2004.

In August 2006, Graeme signed for Toolstation West League newcomers Truro City. In his first season, Graeme and Truro City won the FA Vase - beating AFC Totton on 13th May 2007.