 Parry was appointed as chief executive at Liverpool in July 1998 by then chairman David Moores.On 18 June 2007, Parry was called to give evidence to the arbitration panel investigating the validity of an earlier tribunal decision regarding West Ham United's signing of Argentinian Internationals Carlos Tevez and Javier Mascherano.As Chief Executive of the Premier League, he was involved in the establishment of the Premier League rules and as Chief Executive of Liverpool, is believed to have voiced concerns over the registration in January when attempting to sign Mascherano on a loan deal.