Ms Ardern said that an independent commission would not replicate what happened now.
The Royal Prerogative of Mercy to the Governor-General essentially meant making an application to the Ministry of Justice and the Minister of Justice.
"It's hardly an independent process if you are actually making an application to a political individual to make a decision around a miscarriage of justice."
The British Criminal Cases Review Commission, which has been running since 1997, could send a case back to an appeal court, and its finding would be used as the basis of a quashing or a retrial.
"It does speed up the process but it also adds an independent element."
Mr Key said yesterday there was already a proper process.
Ms Adams said the few convictions that were overturned demonstrated the system worked as it should with the review of decisions of lower courts being under the jurisdiction of higher courts in the appellate system.
"From time to time the issue of setting up a Criminal Cases Review Commission has been raised with successive Governments but none have progressed the idea."
She said establishing an independent body would essentially just replicate the process already available through the Royal Prerogative.