According to the Australian media, Cooper will look to either switch to league or head abroad after a public spat with Wallabies coach Robbie Deans. Cooper, who has played 38 Tests for Australia, posted a string of controversial comments aimed at Deans and the ARU on Twitter at the weekend.
The 24-year-old tweeted about problems behind the scenes, before removing two posts. However, it was too late to revoke his comments, which have seen him have to fight his way out of hot water throughout the week.
"I love rugby but there's s*** going on behind and above the players the effects the whole organisation! Happens at the reds few years back," he said in a tweet.
The New-Zealand-born back was ruled out of the remaining Rugby Championship matches after he damaged articular cartiledge in his knee.
While Cooper currently holds a three-year contract with the Reds, it has yet to be ratified as his ARU component hasn't been finalised. Many are concerned he will be lost to rugby union, with the ball in manager Khoder Nasser's court as he plans Cooper's future.
"There's no worries from my side," Cooper said, regarding his future, last week.
"That's all Khoder's job to look after that."