A petition to halt the cull of tens of thousands of South Island Tahr has attracted more than 20,000 signatures in just 15 hours.
But Conservation Minister, and Green Party MP, Eugenie Sage has called the National Party-organised petition "absurd".
Last week, Sage instructed the Department of Conservation (DOC) to cull 17,500 of the goat-like animals this weekend.
The Tahr population on public conservation land has climbed to an estimated 35,600 –which is 26,000 more than that what is allowed, under the Himalayan Tahr control plan.
DOC and recreational and commercial hunting groups have together been removing an average of about 4600 Tahr each year.