[2] He is the co-founder of the international marketing communications group MSQ Partners[3][4] and of the television drama production company Chrysalis Vision.
[14] In 1998 Parry was appointed as a Trustee of Shakespeare's Globe Theatre having been involved with the project since 1987 when he wrote the original business plan – whilst a consultant at McKinsey.
[15] From 1998 to 2005 he was CEO of Clear Channel International which, at the time, was the World's largest operator in radio broadcasting, live entertainment and outdoor advertising.
In 2007 Parry become Executive Chairman of international marketing communications group Media Square plc which he subsequently took private in a management buy-out in 2011 to create an employee owned business called MSQ Partners.
[18] In February 2014 The Sunday Times reported that Parry along with entrepreneurs Chris Wright And Luke Johnson had founded a company to produce television drama called Chrysalis Vision.
[20][21] In both 2011 and 2012 Parry was the Chairman of the Global Festival of Media held in Montreux[22] In November 2010 Parry was named by bookmakers Paddy Power as the 11/8 favourite to become the next Chairman of the BBC Trust – a role which in fact went to Lord Patten[23] In 2009 he was commissioned by the UK's Conservative Party to write a report on the future of local media.
[34] In 1999 Parry and Mark Slater floated a company called Internet Indirect plc on the London Stock Exchange which rapidly achieved a market value in excess of £200 million.
[35] In 2000 it was sold to rival technology investment group Newmedia Spark plc with Parry and Slater reported to have made more than £3m[36] In 1998 during a contested bid battle for More Group plc he referred to the Chief Executive of commercial rival JC Decaux and would-be hostile bidder, Jean- Francois Decaux, as being two baguettes short of a picnic .
[38] Also that year Parry was a member of a consortium including Jocelyn Stevens and Tina Brown which attempted, but failed, to win the franchise for the London radio station LBC.
In 1994 he tried again with London Radio which also involved broadcaster John Tusa and was, this time, successful but sold the station 9 weeks later at a profit of £5 million.
[39] Parry was appointed Commander of the Order of the British Empire (CBE) in the 2014 New Year Honours for services to media and the arts, particularly the Globe Theatre.