The migrants were brought to Vanuatu over the past two years by a businessman who they claim tortured and enslaved them on arrival.
Rights groups said four people had been charged with trafficking and are before the Vanuatu Supreme Court.
A spokesperson for the migrants, Shahin Khan, said they would rather be resettled than work in Vanuatu, where there was a shortage of jobs for locals.
Mr Khan said among the group were chefs, electricians, plumbers and other technical experts who could benefit New Zealand and Australia.