Hazlewood and Starc were on Tuesday both named in Australia's squad to face India in three ODIs later this month, which kicks off the main part of the home summer.
Five T20s then follow, and while Starc has retired from that format, Hazlewood has been listed in the squad for the first two of those games on October 29 and 31.
Australian officials are keeping an open mind to Ashes preparations, ahead of the first Test in Perth beginning on November 21.
But the most likely scenario remains having the duo play for NSW against Victoria in a Shield match from November 10, before a one-week preparation into the first Test.
"We've definitely had chats about fitting in a Shield game," Hazlewood said at a Cricket Australia sponsorship announcement with Woolworths on Monday.
"I do think it's important when there's time for it. You don't want to squeeze things in or rush for it.
"This year I'm going to miss a couple of T20s to do that. Which I certainly don't like doing, missing games for Australia.
"But in the long run it is about getting the best prep for the Ashes as well. You can't have everything and that's the trade off at the moment."
Pat Cummins will sit out the white-ball matches as he fights to recover from his back issues in time for the first Test.
Hazlewood said playing the ODIs would also help with preparation, with three games in the space of a week offering a reasonable workload.
There is a fine balance for the 34-year-old to strike, given he is still eying off playing in the T20 World Cup in February before another ODI tournament in 2027.
"That's why I put my hand up for as many tours as I can," Hazlewood said.
"Even if I only play two out of three on a tour, it just means I am still touching base with those formats.
"My game doesn't change too much. I have been around long enough to duck and dive in each format and chop and change."
Hazlewood said it was possible for him to play all five Ashes Tests, with lengthy gaps between the first three helping bowlers manage their fitness.
Beyond Cummins, Australia's selectors have other decisions to make.
Marnus Labuschagne pushed his case for a Test recall at the top of the order with a century for Queensland against Tasmania on Monday.
But he remains on the outer in the ODI format, with in-form Queenslander Matt Renshaw instead earning a surprise call-up to the squad on Tuesday.
Renshaw, who also hit a superb Shield century for the Bulls this week, is a chance to make his 50-over debut for Australia in the upcoming series against India.
The left-hander was last picked for an ODI squad back in 2022, but never played a match for Australia.
Renshaw has played 14 Tests and could be considered for a red-ball recall should he continue making runs for Queensland.
BBL hero Mitch Owen is also a chance to finally make his ODI debut after being concussed before the last 50-over series against South Africa in September.
AUSTRALIA ODI SQUAD: Mitchell Marsh (capt), Xavier Bartlett, Alex Carey, Cooper Connolly, Ben Dwarshuis, Nathan Ellis, Cameron Green, Josh Hazlewood, Travis Head, Josh Inglis, Mitchell Owen, Matthew Renshaw, Matthew Short, Mitchell Starc, Adam Zampa.
AUSTRALIA T20 SQUAD (first two games): Mitchell Marsh (capt), Sean Abbott, Xavier Bartlett, Tim David, Ben Dwarshuis, Nathan Ellis, Josh Hazlewood, Travis Head, Josh Inglis, Matthew Kuhnemann, Mitchell Owen, Matthew Short, Marcus Stoinis, Adam Zampa.
