Graham was drafted from the
Moncton Wildcats of the
Quebec Major Junior Hockey League to the
New York Rangers, 51st overall in the
2004 NHL Entry Draft. With his large frame and after his major junior career he was signed to a three-year entry-level contract with the Rangers in time for the
2005-06 season with affiliate, the
Hartford Wolf Pack of the
American Hockey League. In his tenure within the Rangers organization, Graham was unable to establish himself and was released as a free agent after his contract. Graham established himself within the
Allen Americans in the
2009-10 season. He scored 79 points in 64 games and a leading 22 points in 20 post-season games. In his second season with the Americans, he was loaned to the
Lake Erie Monsters of the AHL for two games. On June 27, 2012, Graham left the Americans to sign abroad with British club, the Nottingham Panthers of the EIHL. In his debut season with the Panthers, Graham established himself as the top-line center with the Panthers and the league to contribute with 68 points in 56 games in winning the EIHL Championship. Graham then returned to Allen, Texas, for a fourth season and helped the defending champions, the Americans, defend and claim their second
Ray Miron Cup. Graham decided as a free agent to re-join the Panthers in England, signing a one-year contract on May 30, 2014. ==Career statistics==