Ita Buttrose must be considered by the independent nomination panel before cabinet names the next ABC chair, the Greens say.
"If the Morrison Government wants to nominate Ms Buttrose, it must go through the proper channels," Greens media spokesperson Senator Sarah Hanson-Young said.
"Five months have passed since the Government was caught in a web of political interference at the ABC. They still have not learned their lesson.
"Ita Buttrose is clearly a strong candidate for the position, however the current mess at the ABC is a result of exploiting board appointments. This cannot be allowed to continue, no matter how strong the contender.
"Political interference has plagued the ABC and there can be no doubt placed on future board appointments, or indeed the chair.
"The independent panel exists for a reason, and must not be disregarded or side stepped yet again by this Government."