Citizens say they are angry there are strict rules to comply with before they can access their pensions if they choose to retire in countries such as those in the Pacific Islands, One News reported.
Les Priest worked in New Zealand for nearly 30 years before moving to the Cook Islands.
But because he had not spent five continuous years in New Zealand since turning 50 he cannot get his pension.
"This is my home, my friends are here, my family is here, why should I want to go back for five years," he said.
The pensioner and others have campaigned the Government to change the rules.
Foreign Affairs Minister Murray McCully said he believed there was "very strong merit" to doing so.
However, he said the issue was paying for the health and living costs of pensioners who would rather be in the islands.
