New chairman Lachlan Henderson says Cricket Australia must take time to reflect on the "messy" manner in which Justin Langer's reign as head coach came to an end.

Langer resigned this month after only being offered a six-month contract extension on the back of a 4-0 Ashes thrashing of England.

The former Australia opener had also masterminded a T20 World Cup triumph in the United Arab Emirates last year.

Eyebrows were raised over Langer's dramatic exit, but Australia Test captain Cummins said the feeling in the dressing room was it was the right time for a new coach to be appointed.

New chair Henderson does not want a repeat of the way the situation was played out so publicly. 

He told reporters: "It got messy in terms of things playing out in the media. But the board's role was to receive recommendations from management. We made our decision based on that.

"With any significant decision like that boards should reflect on that process that was involved.

"It is unfortunate that a bit of that played out in the media, and we will reflect on whether that should have been accelerated through the summer."

Henderson will look to bring stability after taking over from interim leader Richard Freudenstein, who stepped in following Earl Eddings' resignation.

The new chair has vowed to be transparent in a new era for Cricket Australia.

"My communication style will be to be open, transparent, hopefully consistent," he said on Thursday. 

"I work in health care. We've negotiated a pandemic in the last two years. That's required a fair amount of resilience. So within the bounds of the confidentiality of boards, I hope that there's a really open and transparent way forward."