[1] He was active on the ILTF World Circuit from 1946 to 1958, then on the Pro Tennis Tour until 1962,[1] and won 60 amateur and professional singles titles.

[3][4] At the Wimbledon Championships he reached the fourth round in 1953 when he was in the fifth set against in his compatriot Ken Rosewall, whom he had lost against previously.

In 1956 Arkinstall played the Nation Cup for his country - he lost the men's doubles match with Lew Hoad against his Italian opponents Guiseppo Merlo and Orlando Sirola (numbers two).

[1] In 1958, he played as a professional in his debut at the Wembley Championships in London when he lost the first round of his compatriot Frank Sedgman.

In 1960, Arkinstall played at the Wembley Pro and again lost in the first round, this time against the Spaniard Andrés Gimeno, the Spanish number one.

[1] After his active career as a tennis pro was Jack Arkinstall coach of the young Manuel Santana from Spain.

He was the number five of Australia in the time he Frank Sedgman (1), Ken McGregor (2), Mervyn Rose (3) and Dinny Pails (4) had, but was higher than his countrymen Geoffrey Brown ('24) Bill Sidwell ('20), Bob Howe ('25) Rex Hartwig ('29), Ian Ayre ('29), George Worthington ('28) and Don Tregonning ('29); before the next generation of Australian tennis players in picture came with, among others, Ken Rosewall.

[10][11] Note: Arkinstall park in Hefron St South Tweed Heads was actually named after Jack's younger brother, Neville, who was a talented sportsman in his own right being accomplished as a hockey and cricket player as well as tennis.