In 1962, he competed as a pro in the US Pro Championships reaching the quarterfinal against Earl Buchholz. That was his last year in professional tennis. 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. Jack Arkinstall wrote in 1967 a book titled The Arkinstall Tennis Rhythm Method. He died at the age of 56 of a heart attack. In memory of the Arkinstall family, a sports centre , Arkinstall Park, exists at Tweed Heads, Australia. Upgrades to the park's existing facilities were announced in 2013. The park includes netball courts and clubhouse, tennis courts and clubhouse, BBQ area and playground. Note: Arkinstall park in Hefron St South Tweed Heads was actually named after Jack's younger brother Neville who was a talented sprotsman in his own right being accomplished as a Hockey and cricket player as well as tennis.