Christchurch city councillors have told staff to come up with some options for Lancaster Park once the stadium is demolished.
A report found that to do so would cost as much as $275 million.
Ms Dalziel said demolition would cost about $20m.
At a meeting today, city councillors told staff to prepare a report on the demolition options and what could be done with the land.
Staff will report back by March.
The February 2011 earthquake badly damaged the rugby and cricket stadium. It has sat static since, while the council fought with insurers about whether it should be rebuilt or fixed.
It was included in the council's $635m insurance settlement last year.
A new multi-purpose sports facility was outlined in the government's central city blueprint in 2012, at a cost of $253m.
It was originally earmarked for completion in 2017, but the council extended the timeframe to 2021.