Hansen and Cheika engaged in a waspish exchange in the media in June.
The All Blacks mentor suggested Cheika had been bullied in the media by his England counterpart and former clubmate Eddie Jones.
Cheika hit back at Hansen, describing the comment as "really shallow".
"I just answered a question," Hansen said in response to being asked whether he had been playing mind games with the Wallabies coach.
"I got asked about how I thought the series was going. I think the Australian camp got a little bit upset with it.
"I left that a long time ago. I'm moving on to what we've got to do."
He said Cane was a 99 per cent chance of being available to play on Saturday despite a recent concussion.
Hansen wasn't expecting any major changes to the Wallabies game plan, though he expected their kicking game would improve under newly appointed national skills coach Mick Byrne, who previously held a similar position with the All Blacks.
"They've brought a lot of people back from the northern hemisphere so that gives them a bit more experience and their back three will be good under the high ball," Hansen said.
"With Mick there they'll have a better kicking game I'm sure, but you can't change it too much.
"There's a natural way Australia play, so I'm assuming they will stick to what they do."
Hansen expected Byrne would have already had a strong influence on Australia despite being appointed only three weeks ago.
"He's a pretty good coach, Mick. He's learnt a bit, he taught us a bit, so you've got yourselves a goody there."
- AAP