Stockwell serves on the board of directors of the Australian Sports Commission, and is the deputy chairman of the board. He is also the chairman of the Australian Sports Foundation, a non-profit company that raises money for Australian sport projects. He previously served as the chairman of the Gold Coast 2018 Commonwealth Games Organising Committee, having led the committee through its successful application process, but was sacked by Campbell Newman. He is the chairman of Trade and Investment Queensland, the Queensland state government's foreign investment and export program, and a former national boardmember and Queensland division past president of the Property Council of Australia.