A Liberal frontbencher says it wasn't a mistake to stick by Tony Abbott, as he waits to see if he is staying in the ministry.
Josh Frydenberg, who voted for the former prime minister against Malcolm Turnbull, is getting behind the new leader but believes Mr Abbott had further work to do.
The assistant treasurer told ABC radio on Wednesday that cabinet choices are up to Mr Turnbull and there isn't a "higher appeal body" for those who want to stay in their positions.
Attorney General George Brandis dismissed Mr Turnbull's previous performance as opposition leader as "ancient history".
He told ABC radio the two greatest Liberal prime ministers - Sir Robert Menzies and John Howard - were failures the first time around.
"We all change in this business," Senator Brandis said.
Finance Minister Mathias Cormann, who supported Mr Abbott, said the new prime minister had his complete and unequivocal support.
"I am a team player. Always have been, always will be," he told reporters in Canberra.
Liberal Democrat David Leyonhjelm says on the Senate crossbench there is a feeling of goodwill towards Mr Turnbull. And so far, so good.
"But on the other hand, the guy who jumped out of the 50-storey building was asked as he past the 40th floor how's it going and he said 'so far, so good'," Senator Leyonhjelm said.
Nationals senator Matt Canavan is one coalition figure still disappointed at the change in Liberal leader.
There was an "unfortunate virus that is infecting our political class," he told reporters.
Senator Canavan regrets that the "throwaway" society of modern life has now come to parliament.
Palmer United Party leader Clive Palmer has welcomed the decision to replace Mr Abbott.
"I hope Malcolm Turnbull can come up with something substantial for the country," he told the Nine Network.
Former PUP senator Glenn Lazarus has high hopes for the new prime minister provided he gets out of his wealthy electorate in Sydney's eastern suburbs and sees how some Australians are doing it tough.
He's written to Mr Turnbull inviting him to take part in a tour of regional and rural areas of Queensland.
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