They had missed out on the last central contracts.
On the sidelines since January due to injury, Hazlewood had been confident of being fully fit in time for Australia's Cup opener against Afghanistan on June 1 in Bristol.
Meanwhile, if their IPL form is concerned, David Warner has been churning out runs on a consistent basis for SRH.
Cricket Australia (CA), in its statement, mentioned that the 15-man squad will have to assemble in Brisbane for a training camp. The duo is now playing in the ongoing Indian Premier League (IPL) for the Sunrisers Hyderabad (SRH) and the Rajasthan Royals (RR) respectively.
David Warner and Steve Smith have both been returned to the fold from their 12-month bans under captain Aaron Finch while Shaun Marsh and Usman Khawaja have been retained as batsmen with Peter Handscomb dropped.
Handscomb can consider himself particularly unfortunate to miss out on the squad after averaging 43 runs in 13 games this year.
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Australia's recent red-hot form has been built on the back of a rock-solid opening partnership between skipper Aaron Finch and Usman Khawaja. His 117-run innings in Mohali was pivotal in Australia chasing down 359 against India, their highest chase in ODI history.
Spinners Adam Zampa and Nathan Lyon have been named in the Australia squad alongside Mitchell Starc, Pat Cummins, Jason Behrendorff, Jhye Richardson and Nathan Coulter-Nile.
"Our key criteria focused on selecting a pool of players who are going to help us in our ambition to win the upcoming World Cup and Ashes Series in England, and who can also play the various formats over the course of the Australian summer". Squads can be changed until 23 May without ICC permission. "Unfortunately, from the recent squad which toured India and the UAE, Peter Handscomb, Ashton Turner and Kane Richardson have made way for the above inclusions, but all three have been included in Australia A squad for the tour of England".
Seamer Jason Behrendorff and all-rounder Marcus Stoinis, who were also named in the World Cup squad, are also expected to leave Mumbai Indians and Royal Challengers Bangalore respectively by the end of the month to attend the camp.
He added that there had been some tough calls to make given the depth of talent available, but was happy to see Smith and Warner return to the global fold.