Maxwell was part of the playing XI in the first two two T20I matches against Sri Lanka and had also smashed a quickfire fifty in the first match in Adelaide on October 27. D'Arcy Short has been roped in as Maxwell's replacement for the final T20I to be played on Friday.
"Glenn was proactive in identifying these issues and engaging with support staff," he added.
Expressing empathy on Maxwell's decision, executive general manager of national teams Ben Oliver stated that the well-being of the players and staff was a priority.
"He's a special player and an important part of the Australian cricket family. We hope to see him back in the team during the summer," Oliver said.
"It's important we look after Glenn and all our players," he added.
Australia have already clinched the three-match series, having registered commanding victories in the first two matches. Following the Sri Lanka series, the Aussies would be locking horns with Pakistan in three T20Is and two Test matches.