Cooper, who previously described the environment within the Wallabies as "toxic", made it clear how unhappy he was with the current set-up the national team operated under.
"For me to continue to improve as a player and as a person you want to be involved in the best possible environment and I feel that environment is sort of destroying me as a person and as a player," Cooper said.
He said he believed the Wallabies needed to be better looked after and prepared if they were to perform at their best.
Deans was asked if the door was still open and replied: "yes", adding he was open to talking through the issues with the disillusioned player.
"I haven't seen his quotes (from the television show)," Deans said at a press conference in Pretoria.
"We're concentrating on playing a Test.
"It hasn't been a distraction at all, we've had a good week of preparation."
The Queensland Reds player says he'd love to honour a three-year deal he agreed to with the Super Rugby franchise earlier this year but whether the deal is ratified by the Australian Rugby Union (ARU) is out of his hands.
He said he'd been communicating with Deans via text messages since his comments over the weekend, reiterating his spat isn't a personal one between the pair.
But he expressed a further frustration that his talents were being wasted under Deans' current strategies.
"As the five-eighth you'd like to think you've got input into the game plans and sometimes the input goes in one ear and out the other," he said.
Cooper's outburst and his Twitter comment he'd like to play with friend and former All Blacks star Sonny Bill Williams have re-ignited speculation he could be headed to rugby league, with Williams expected to join the Sydney Roosters next year.
The ARU broke its silence on the issue earlier on Thursday with a brief statement which said they'd written to Cooper about his comments but didn't disclose if he was facing disciplinary action.
- AAP
