If Cooper has split with the ARU, his new three-year deal with his Reds Super Rugby team is in severe doubt, but Queensland Rugby Union chief executive Jim Carmichael told the Brisbane Courier Mail he still expected the first-five to turn out for his team next year.
"I know the ARU have recently met with him and I'm respectful that they will have mapped out what 2013 looks like for Quade in their eyes as well," Carmichael said.
"I've heard of no issue about him not playing in Australian rugby. I just know there's argy-bargy in every contract negotiation."
Williams, who left the All Blacks this year to play rugby in Japan and has now signed with the Sydney Roosters, was allowed to box during the rugby season as it allowed the New Zealand Rugby Union to pay him less.
He has said he will not fight during the NRL season.
Cooper, who was born in Tokoroa, provoked strong reactions during last year's World Cup in New Zealand after his constant on-field baiting of All Blacks captain Richie McCaw, which included a knee to the head in a match in Brisbane.
Cooper said he was happy to be regarded as New Zealand's Public Enemy No1 but played poorly in the tournament which ended for him in a knee injury.