Goodall, a respected botanist and ecologist, died Thursday at the Life Circle clinic in Basel, Switzerland, after administering a lethal drug under the guidance of doctors.
But the practice is frowned upon by many doctors and some others who say it should be reserved for the terminally ill.
CNN notes that the 104-year-old scientist had advocated for the legalization of assisted suicide in Australia and that his home state of Western Australia is now debating whether to introduce the policy.
He passed away at around 12.30 local time there. "What's the use of that?" he told CNN. In 2016 the professor was given the Order of Australia Medal.
He continued to work well past the age of 100.
An honorary research associate at Edith Cowan University in Perth, Goodall produced dozens of research papers and continued to publish after his retirement.
But he won a battle to stay in his office. At first Goodall fell asleep and then he died. While on the floor, he noticed that he wasn't able to stand up, and when he called out for help, nobody could hear him.
He was rushed to hospital and despite only suffering from "one or two minor wounds" Dr Goodall was advised not to do certain things alone, like ride the bus or cross the street.
Staff at the clinic near Basel told Sky News that Dr Goodall had "gone in peace". "The question would not have arisen if I were not an old man", he said.
"And for people who feel that life is theirs, and they should have the decision as to when that life ends, when they've lived a full life".
Speaking shortly before his death, Goodall expressed joy that he no longer wishes to continue with life. "I greatly regret having reached that age", he said.
Legislation to allow assisted dying in Victoria will come into effect mid-2019.
Voluntary euthanasia has been legal in Switzerland since the 1940s but is illegal in Australia.
"David Goodall is exactly the sort of member that Exit is made of and is proud of", Nitschke said.
Goodall had travelled to Switzerland to take advantage of the country's assisted suicide laws.
Several US countries have a form of physician-assisted suicide, as perform a small number of states like Japan, Belgium and Switzerland.
Anyone seeking support and information about suicide prevention can contact Lifeline on 13 11 14.