"In response to the president's recent decision to gut our existing protection policies, direct action was conceived and executed on the green of his California golf course in the form of a simple message: NO MORE TIGERS. NO MORE WOODS," the statement said.
The golf course did not respond to multiple requests for comment; nor did the Trump Organisation's New York headquarters.
A spokesman for the Los Angeles County Sheriff's Department confirmed that the department received a call for service Sunday morning about grass being dug up around the fifth hole at the golf club. The spokesman said the department sent a deputy to the course to determine whether the damage constituted an act of vandalism or whether it was accidental.
The message was carved into the green using gardening tools and took less than an hour to write, said a member of the group who discussed the act with The Post on the condition of anonymity.
The group consisted of four people, who accessed the course by scaling a fence and "walking down a steep hill laced with cacti," the group member told The Post.
"Tearing up the golf course felt justified in many ways," the member said. "Repurposing what was once a beautiful stretch of land into a playground for the privileged is an environmental crime in its own right."
The member added, "We hope this sends a message to Trump and his corrupt administration that their actions will be met with action."
Trump National Golf Club opened in November 2000 on a site that had been farmland. On its website, the club touts its dedication to "protecting the environmentally sensitive habitat that plays host to several protected plant species and the endangered Coastal California Gnatcatcher (a small migratory bird)."
"Several environmentally aware agencies - including the U.S. Fish & Wildlife Service and the California Department of Fish& Game - were involved with setting up a series of standards and guidelines for the course," the website adds.
Sunday's vandalism was not the first time Trump properties have been attacked. Trump's new Washington hotel was spray-painted with the words "Black Lives Matter" during an October demonstration.
The president has been the target of scathing humour, both on "Saturday Night Live" - where he is regularly lampooned by Alec Baldwin - and by demonstrators across the country.
In addition to inspiring a new line of popular piñatas, the group Indecline unveiled life-size statues of Trump in the nude in public spaces in New York, San Francisco, Los Angeles, Cleveland and Seattle in August.