Gov. Kathy Hochul insisted Saturday she’s no fan of the Democratic Socialists of America and that the Big Apple will remain a capitalist city – even after card-carrying member Zohran Mamdani takes over as mayor in January.

“I don’t support them. I’ve made that clear,” said Hochul, referring to the DSA while fending off relentless criticism from Republican gubernatorial hopeful Elise Stefanik over her mayoral endorsement of Mamdani.

Stefanik in a video kicking off her gubernatorial campaign Friday accused Hochul of having “cozied up” to a “defund-the-police, tax-hiking, antisemitic Communist” in Mamdani. She’s also repeatedly branded Hochul the “worst governor in America.”

“I really don’t care what she says,” snipped Hochul to reporters at the annual SOMOS political retreat in Puerto Rico.

Hochul also said the city’s business community is trying to come to grips with the idea of a socialist running City Hall.

“I think [Partnership of New York CEO and powerbroker] Kathy Wylde spoke about the different stages of grief, and I’ve spent a lot of time reaching out to people, reaching out to me to say … ‘I’m not going to root against New York City; we need this next mayor to be successful.’” she said.

“And this will still remain a capitalist city focused on our legacy industries that must prosper because they’re the ones who generate the economic revenue, the revenue that we use to have programs that lift our people up.

“It’s that close of a connection, that’s important.”

Hochul – who was heckled off the stage two weeks ago to chants of “tax the rich” during a Mamdani campaign rally in Queens – also insisted she doesn’t plan to raise state income taxes to support any of Mamdani’s pie-in-the-sky campaign pledges like free bus service.

“If you look at the history of people who’ve run multi-million dollar ad campaigns to try and get me to change my position, I don’t change my position,” said Hochul, ignoring how she previously flip-flopped to support NYC’s congestion-tolling scheme and on other policy matters.

“What is doable is the question,” she said. “It’s kind of a collision course right now.”

“Our ambitions are big, and I believe in them, and I want to accomplish them. We also have to figure out like, okay, ‘now I’m in the hole $3 billion already on Medicaid cuts — $750 million this year I had to make up on Medicaid cuts.’ So if Republicans would stop doing that, and I got back to my normal budgeting cycle, it looks a lot easier.”