Lord Mayor Lisa Scaffidi has rejected bipartisan political pressure for the City of Perth to provide further explanation for last week's sacking of CEO Gary Stevenson.

Mr Stevenson's contract was terminated with more than 12 months remaining, with Ms Scaffidi saying at the time council felt a need to take the city in a new direction with a different management style.

Both Premier Colin Barnett and Opposition Leader Mark McGowan rejected that explanation as unsatisfactory and called on the council to provide more details.

But Ms Scaffidi insisted that was not needed.

"Absolutely not, the ratepayers elect the councillors to appropriately manage the City of Perth," Ms Scaffidi said.

"I have had conversations with [Local Government Minister Tony] Simpson and Colin Barnett and I don't believe there are any other concerns that I am aware of."

Mr Stevenson's sacking followed investigations into elected member travel, including an internal review of council travel last year, which he ordered.

It also followed a corruption watchdog probe into Ms Scaffidi's failure to properly declare gifts.

But Ms Scaffidi has consistently denied Mr Stevenson's sacking was related to that issue.

Former planning and development director Martin Mileham was appointed the city's acting chief executive after Mr Stevenson's sacking.