The Privy Council in London has reserved its decision on the Teina Pora case, after a two-day hearing, Radio New Zealand reports.
The 39-year-old, who was granted parole earlier this year, was fighting to clear his name after twice being convicted of the rape and murder of Susan Burdett in Auckland in 1992.
Pora had served 21 years in prison but maintained his innocence.
In summing up, Pora's lawyer Jonathan Krebs pointed to inconsistencies in what Pora told police.
Krebs said he had given numerous explanations of how he and other offenders had got inside Burdett's South Auckland unit.
The defence case was that Pora was born with foetal alcohol spectrum disorder and that meant he had a drive to please others, including police officers during an interview.
The Crown, however, said a jury would still convict Pora, despite the new evidence.
