Australia coach Michael Cheika remains disappointed with the citing of Michael Hooper, believing the referees had adequately dealt with his illegal cleanout on field on Saturday night.

Hooper was suspended on Tuesday for an armless cleanout on England full-back Mike Brown in the 39th minute of Australia's 33-13 victory England at Twickenham - a result that sent the hosts out of their own Rugby World Cup.

The decision to suspend Hooper - a two-week ban reduced to one because of the back-row's good record and guilty plea - elicited an emotional reaction from Brown, who took to Twitter to ask why a sterner punishment wasn't handed out on field.

Speaking on Thursday morning, Cheika launched a spirited defence of his vice-captain while admitting the hearing process was the best he'd been involved with.

"The citing, yes," Cheika replied when asked whether he was surprised with the suspension.

"It's probably the best run hearing that I've been involved with - the way that it was done and the professionalism around it. And the opportunity for us to present the case as to why (we thought it didn't warrant suspension), and to actually listen to it and respecting that point. I thought it was very well run.

"They made their decisions based off a set of criteria that they have, so that's the way it runs. But like we said, I think, you know, I thought the referees in that game had a very, very good game and they were right there and they saw it all.

"So we were a bit disappointed in the citing but I thought the hearing was done very well."

The one-week ban is Hooper's second suspension of the season, having already served a similar punishment following an off-the-ball incident against Argentina in Mendoza.

The 23-year-old served that ban via a loophole that saw him included in Manly Marlins' line-up for a finals match in Sydney' Shute Shield competition, leaving him free to face the All Blacks a week later.

Cheika said he had no issues with Hooper's discipline in spite of the bans, and pointed to the speed with which the openside flanker plays the game as to why he has found himself in trouble this year.

"The previous one was one that I was disappointed with the citing as well," Cheika said. "Michael plays the game really hard; he's in the forefront of a lot of collisions and he's only a little guy, so he needs the speed of bringing the game in for the contacts.

"Usually when things happen with him they end up being quite good for the screen. I remember when he was playing for the Waratahs a couple of years ago, he made a massive collision with (Ben) Tameifuna from the Chiefs, just based off the speed that he came into the contest, and then just gets up, shakes his head and runs away.

"He likes that part of the game but, like I said there, he's probably one of the cleanest players I've seen. He just likes to play the game hard, you know?"

Michael Hooper© Dan Mullan/Getty Images