"Prior to filming, experts were consulted to ascertain species on both islands and the American crocodile was not known to be in the area or on the island."
It is believed the contestants mistook the crocodile for a common caiman after feeling the effects of a severe lack of food.
"The relevant national environment agency are aware of the incident and have granted a licence to replace the animal which has now been done," the statement continued.
It's not the only outcry over Grylls' new show: viewers complained of feeling sick during one episode of the show when two contestants were administered painful enemas.
Read more: Bear Grylls' new TV show makes viewers 'gag'
It has already faced accusations that part of the show had been staged along with accusations that those taking part in the reality show had taken part in similar survival challenges and were not "ordinary men".
There were claims of sexism when the show was first announced, with its all-male cast for season one criticised.
The first season of the show aired on TV One in New Zealand.
- Independent