Former Australia paceman Jason Gillespie believes Darren Lehmann and Steve Smith are the right men to take the national team forward.
Coach Lehmann accepted some of the blame for Australia's Ashes failure as they gave up the urn by going down 3-1 in the series.
Meanwhile, since Lord's, Smith has made four single-figure scores – with his two dismissals in the fourth Test criticised – but he is set to replace the retiring Michael Clarke as captain.
Gillespie, who was linked to the England job before Trevor Bayliss took over, feels the duo deserve their chance.
"I said at the start of the series that one of the biggest challenges for their head coach, Darren Lehmann, long term will be overseeing a transitional period," he wrote in The Guardian.
"Boof rightly set about reversing a losing streak and won an Ashes series and a World Cup in a short space of time, but he will know his job is to rebuild.
"That the Cricket Australia CEO James Sutherland has said Lehmann will continue is good news for the team.
"With Michael Clarke standing down as captain and retiring at the end of the series, Boof’s presence alongside Steve Smith, who I believe is ready to step up and lead a rebooted side, will provide stability."
Gillespie said there was a major need for a rebuild, with only Smith and David Warner certain to retain their spots in the top order.
Chris Rogers and Michael Clarke are retiring, while question marks remain over Shaun and Mitchell Marsh and Adam Voges.
"Looking ahead, with Chris Rogers aged 37 and looking set to stick to his plan of retiring this year, Smith and David Warner are the only two batsmen locked into the Test side’s top six at present," Gillespie wrote.
"Who steps up to join them is the big question.
"Joe Burns and Usman Khawaja are two previously capped players who will come into the thoughts of the selectors, and there is talent waiting in the wings in the shape of Cameron Bancroft, Chris Lynn and Nic Maddinson, as well as a few more.
"But these players need to get stuck into first-class cricket and start scoring the runs that demands their selection."