Mae Dr Goodall wedi bod yn Gyfarwyddwr Cyffredinol Iechyd a Gwasanaethau Cymdeithasol a Phrif Weithredwr GIG Cymru ers 2014. Cyn hynny, ef oedd Prif Weithredwr Bwrdd Iechyd Prifysgol Aneurin Bevan.
Dr Goodall has been Director General for Health and Social Services and Chief Executive of NHS Wales since 2014. Prior to this he was Chief Executive of Aneurin Bevan University Health Board.