Their work for the Johnny Appleseed company finishes on Friday but they have to pay an extra six weeks' accommodation and medical insurance, costing nearly $US600.
An aunt of one of the workers said they are now subsisting on the cheapest, nutrient poor food with their savings being eroded the longer they stay.
A New Zealand government policy to help workers in this situation does not start until July.
Immigration NZ authorities said a process to help seasonal workers move to other employers has been established but the aunt said it has not been offered to the men.