"We look forward to continuing the important process of recovering and rebuilding for Cricket Australia and Australian cricket," said Eddings.
"The board is keenly aware that we have a way to go to earn back the trust of the cricket community. We and the executive team are determined to make cricket stronger," he added.
Smith, who was the skipper of the Australian cricket team at that time and Warner, who was his deputy, are seven months into their one-year bans for leading the plan, while Bancroft would be eligible to return in December.
However, the players’ union said that Smith, Warner and Bancroft’s ban should be lifted now.
Now, former Test skipper Mark Taylor is the highest profile name to take over, but, Earl Eddings, along with CA directors Jacquie Hey and John Hernden are also in the race for being the chairman of Cricket Australia.