Lawyers for David Bain and Justice Minister Judith Collins have been arguing at the High Court over where his judicial review should be heard.
Mr Bain spent 13 years in prison for murdering five members of his family before being found not guilty in a retrial in 2009.
Earlier this year, he sought a judicial review of the way the minister handled his compensation application, claiming a breach of natural justice.
His long-time supporter Joe Karam says Mr Bain's legal team filed papers seeking the review in the High Court in Auckland but Crown lawyers say it should be heard in Wellington.
The judge has reserved his decision.