Greek-born Postecoglou, who has also taken charge of Brisbane Roar, Melbourne Victory, and the Australian national team, is priced at 1/1 with SkyBet and is the current favourite following the Howe bombshell.
Scotland boss Steve Clarke, former Nice and Borussia Dortmund manager Lucien Favre, and Hibs head coach Jack Ross also feature among the possible new managers.
3 / 3