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Council chief executive Jim Harland said yesterday the cases did not affect the council's work, as the High Court in Christchurch last month had made a decision in its favour.
Until there was a decision to the contrary, the project would proceed.
"We have a commitment to make payments, we need a funding line, and that's in the [council annual] plan until a court tells us otherwise."
There are two court actions against the stadium, one with a hearing date and another yet to get a date.
Stop the Stadium has appealed a High Court decision last month that dismissed the group's injunction that would have barred the Dunedin City Council from signing a stadium construction contract.
A Court of Appeal spokeswoman said from Wellington yesterday the notice of appeal had been received.
There was a six-month time-frame in which the case could be heard, with the possibility of a three-month extension, but it was up to the appellant to request an early hearing if that was required, and that had not been done yet.
Basil Walker, of Queenstown, has a High Court challenge against the Otago Regional Council's funding of the project, with a hearing set down for June 4.
The Otago Regional Council gave the court a binding undertaking it would not enter into any contract for funding the stadium, or provide any funding for its construction, until after its annual plan was finalised, provided there was a hearing before June 5.
Counsel Alistair Logan said last week the ORC was happy to give the undertaking as it had never intended to hand over any money until August.