He refereed the Wallabies-All Blacks Test in Sydney and met with Hansen and his scrum guru Mike Cron.
Sydney's Daily Telegraph took the side of Cheika and wrote: "Any meeting of coaches from one team with referees demands the Wallabies be invited to join in".
"Hansen's lament that it was a 'sad' Australian complaint is lame when he would have been furious if the boot was on the other foot. Kiwi outcry that the Wallabies went overboard with the rough stuff in Wellington last weekend is laughable," wrote the Telegraph's rugby veteran writer Jim Tucker.
"A shoulder charge, a jersey sling and some verbal and push-and-shove is hardly nuclear warfare when trying to rattle the opposition has been a tactic for more than a century.
"The fact that it did not work is not the point, especially when Wallaby Kane Douglas's face aggressively attacked the hand of All Blacks prop Owen Franks.
"The best sign was the intent of the Wallabies to scrap and be more physical because they will need that with accuracy to beat the Boks."
South Africa play the Wallabies on Saturday week in Brisbane.