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The appeal would be heard on August 18, following the group's request for an "urgent" hearing, Stop the Stadium president Bev Butler said.
The group's appeal followed its unsuccessful application for an injunction to prevent the signing of a stadium contract between the Dunedin City Council and Hawkins Construction.
The application was dismissed by Justice Lester Chisholm in the High Court at Christchurch on April 24.
Yesterday, Ms Butler said she was "pleased" to receive the Court of Appeal date.
However, she wanted the council to suspend stadium spending until after the appeal, and a separate High Court action by Queenstown stadium opponent Basil Walker, were resolved.
The call was included in a letter sent to Mayor Peter Chin and city councillors yesterday and copied to the Otago Daily Times.
Mr Chin was not aware of the letter or court date when contacted yesterday.
He said the council would deal "appropriately" with the outcome of both court actions, but rejected any suggestion payments and work on the stadium should cease in the meantime.
"It's tantamount to saying `Just stop work'. There's no way that's going to happen . . . The project is going ahead."