Australia will play their first match of the series against West Indies on December 4 at the Perth Stadium while the second and final match of the two-match series will take place on December 8-12 at the Adelaide Oval.
Maketa, who is currently the South Africa A coach and National Academy Lead, will take charge of the Test squad from December until early January as they prepare to face Australia in their penultimate series of the ICC World Test Championship (WTC).
New Zealand will play two Tests as part of their ICC World Test Championship title defence and three ICC Men's Cricket World Cup Super League fixtures from December 27 to January 15.
While they have always played high-profile clashes during the ICC Cricket World Cup, ICC T20 World Cup and ICC Champions Trophy, the last bilateral series between both took place in January 2013
England, whose batting has undergone an astonishing metamorphosis with Brendon McCullum taking over the coaching role, is set to host South Africa for three Tests this summer, with the first Test to be played at Lord's on August 17.
In 2021, the WTC final was shifted from Ageas Bowl, Southampton to Lord's due to COVID-19, where New Zealand defeated India to be crowned as the inaugural WTC champions.