Graham was the assistant coach for the team at the 1992 Winter Paralympics. He then became head coach of Australia's Winter Paralympic team for the 1994 Winter Paralympics, 2006 Winter Paralympics, 2010 Winter Paralympics and the 2014 Winter Paralympics. In 2003, he was named the Australian Paralympic Committee’s Winter Paralympic Program head coach, and in 2010 signed a four-year deal to remain on in the position. , Graham is the current head coach of the Australian Paralympic Committee's Winter Paralympic program. According to an interview published on the Australian Paralympic Committee site, his immediate priority was to prepare athletes for the 2014 Winter Paralympics, while at the same time working to insure the Australian winter sport program will be competitive for the 2018 Winter Paralympics. Part of the effort involves having an athlete retention of seventy-five percent.