The remark, reported in a Christchurch newspaper, was in response to a statement by the mayor that the Government could force the city to increase rates or sell assets to fund the earthquake recovery, Mr Brownlee said.
The minister also cited his frustrations at the ongoing turmoil within the dysfunctional city council - which is now being supervisedby a Crown observer as it tries to overcome internal divisions.
Mr Parker told the Herald there were questions around whether the Cera model - with a "diluted" council role - was the best way to go.
"What I'm suggesting is maybe another model which would retain a greater sense of local control. So that it's in the hands more of the people of the city, rather than perhaps what might be seen as a Wellington bureaucracy located in the city."
Staff crossover between Cera and the city council was creating confusion at times, Mr Parker said.
Rather than Cera, the city council could have additional resources to deal with the scope of disasters like the quakes, he suggested.
Mr Brownlee declined to comment yesterday on Mr Parker's latest remarks.