The Australian is reportedly keen to succeed sacked Rangers boss Pedro Caixinha at Ibrox.
ESPN reports that Australia's national team coach is interested in the vacant Rangers manager's job.
Ange Postecoglou's contract expires next week, and according to ESPN he is eyeing a return to club management - despite the fact he can seal the Socceroos' place in next summer's World Cup finals before then.
Postecoglou's side face Honduras in the first leg of their inter-continental play-off tie on Friday.
The 52-year-old previously led Australia to Asian Cup success, and won silverware with Brisbane Roar and South Melbourne.
It remains to be seen whether Rangers - who sacked Pedro Caixinha at the end of last month - would be keen on Postecoglou, who was a colleague of Craig Moore, the former Ibrox defender, at Australia and the Roar.
ESPN reports that although Aberdeen's Derek McInnes remains the favourite to replace Caixinha, Rangers would have to pay 'hefty compensation' should they wish to appoint their former midfielder.
And Postecoglou's potential free agent status could appeal to Rangers, according to ESPN.
Could/should Rangers consider Postecoglou?