Dr Parker completed his undergratuate studies in Sydney, followed by medical training at Flinders University, SA. He completed his general medical training at Liverpool Hospital, NSW. He completed ophthalmology training at Sydney Eye Hospital and then further training at Royal North Shore Hospital and Westmead Hospital. He completed his fellowship in oculoplastic surgery at the world-renowned Moorfields Eye Hospital, London, UK.

He holds a Masters of Medicine (Ophthalmic Science) from the University of Sydney and now is a clinical lecturer in this program. He is active in clinical research and has published in peer-reviewed journals. He has been actively involved in the training of upcoming surgeons in Australia and the UK.