Maxwell last played for Australia in October before taking a break from cricket, citing mental health issues. He returned to action in the BBL for the Melbourne Stars.
On Tuesday, Marcus Stonis was named the Big Bash League’s domestic player of the tournament, but he was left out of both squads.
“Marcus Stoinis is a stand-by player for each squad and was unlucky to miss out due to the make-up of the current top order,” selector Trevor Hohns said in a statement Tuesday.
“It is terrific to have a back-up player of his caliber in such good form.”
Pacemen Sean Abbott and Jhye Richardson were named in the T20 squad and Matthew Wade was included in both.
Australia will play three T20s against South Africa on Feb. 21, 23 and 26 before three one-dayers on Feb. 29, March 4 and March 7.
One-day: Aaron Finch (captain), Alex Carey, Pat Cummins, Ashton Agar, Josh Hazlewood, Marnus Labuschagne, Mitch Marsh, Glenn Maxwell, Kane Richardson, Steve Smith, Mitchell Starc, Matthew Wade, David Warner, Adam Zampa.
T20: Aaron Finch (captain), Alex Carey, Pat Cummins, Sean Abbott, Ashton Agar, Mitch Marsh, Glenn Maxwell, Jhye Richardson, Kane Richardson, Steve Smith, Mitchell Starc, Matthew Wade, David Warner, Adam Zampa. (AP)