Prime Minister Scott Morrison has put the ABC board on notice, warning "they can expect a bit more attention from me" if they fail to uphold the public broadcaster's independence after a week of turmoil saw it lose its managing director and chairman.

Telling the ABC to "stop talking about itself and get back to work," Mr Morrison said it was now up to acting chair Kirstin Ferguson to settle the organisation down so that it could perform services that Australians paid for.

ABC management has been struggling to cope with the fallout from last week's events, which began with the shock sacking of managing director Michelle Guthrie and ended with the resignation of chairman Justin Milne after it was revealed he asked for journalists to be sacked because the government did not like them.

The revelations have sparked a national conversation about political interference in the public broadcaster after Mr Milne denied he had come under pressure from his friend, Malcolm Turnbull, to exercise control over the ABC's news operations. Mr Turnbull has also denied any such suggestion.