"The board has not considered in any detail any franchising," he said yesterday.
"Some major associations are really keen on it; some somewhat less keen, others in the middle ground. People need to take a deep breath.
"It is a fundamental change. That doesn't mean we shouldn't make fundamental change.
"If the case for doing it is right, we should be prepared to do it. We've got to make sure everybody wants to go down that path."
Moller is in Australia today for a meeting of the 2015 Cricket World Cup organisers, en route to an International Cricket Council meeting in Dubai next Tuesday, where the thorny issue of governance is top of the bill.
He intends discussing Australia's Big Bash League with Cricket Australia's chief executive, James Sutherland.
Although the BBL has attracted large crowds, the big sponsorship injections have evidently not materialised to the extent expected.
Moller hopes to glean Sutherland's thoughts on how it has panned out, get a steer on possible pitfalls and the merits of the idea.
"All those things have to be worked through. In all walks of life there are no silver bullets. There's no one ideal solution that doesn't have some disadvantages associated with it," Moller said.
Moller is certainly not against the idea of franchising per se, but believes it must be done with the right process.
"Given the diversity of views at the moment, there's going to have to be quite a lot of work to convince people one way or another. Some are keen for it to happen earlier than later; some also don't think it should happen at all."