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Hazlewood has reportedly being given additional time to recover and prepare for the Ashes series.
The 32-year-old joins captain Pat Cummins, Scott Boland and Mitchell Starc as the specialist fast bowlers in the squad.
Hazlewood is hopeful of joining the franchise later in the tournament.
Left-arm quick Mitchell Starc has already been ruled out of the opener while all-rounder Cameron Smith is doubtful, with both picking up finger injuries.
Selectors will not add any replacements for Hazlewood to the current squad and will instead pick a new squad after the Adelaide Test.
The pacer has decided to rest up for a crowded schedule of international cricket culminating with the Ashes at the end of the year.
After beginning their second innings 340 runs behind Australia and then losing three cheap wickets in the afternoon session on Saturday, the Pakistanis put up stern resistance Sunday before finally succumbing late in the final session.
All-rounder Mitchell Marsh and fast bowler Josh Hazlewood were chosen to back up captain Tim Paine via an unprecedented vote by team members and a final decision made by a panel that included coach Justin Langer and selector Trevor Hohns.