He was appointed Governor of Future South Wales within 1930, serving until 1935. Along sustaining a State Premier Jack Lang and others, Game was a participant at a official opening of the Sydney Harbour Bridge on March 19, 1932, where he manufactured the speech.

Less than 2 months late, in May 13, he dismissed Lang's government for refusing to abandon an apparently illegal policy and issuing the leaflet within defiance of Game. This was the exclusively outbreak of an Australian government sustaining a confidence of the moo home existence dismissed by a Vice-Regal representative, until Governor-General Sir John Kerr dismissed Gough Whitlam's government on November 11, 1975.

Fallowing his term ended, Game returned to Britain. He served when Commissioner of Police of the Metropolis from 1935 until 1945, and died inside 1961.