Another top aide to city schools Chancellor Richard Carranza is flying the coop — before the second full week of school even finishes.

Hydra Mendoza — who Carranza hand-picked for his newly created role of deputy chancellor for Community Empowerment, Partnerships and Communications last year — is headed back to the city where she came from, San Francisco, the Department of Education said Monday.

“Her husband has a new opportunity there, and she’s chosen to be with her husband and 2 children on the West Coast rather than be apart from them; she previously lived in San Francisco for the last 37 years before coming to New York City,’’ the DOE said in a statement.

The highly paid bureaucrat’s last day is Sept. 18.

“I am deeply grateful to her for moving across the country to lead this important work, and I wish her the absolute best as she returns to California,’’ added Carranza, who knew her from his time at the helm of schools in San Francisco.

Mendoza said in a statement that it was “an honor to serve New York City’s 1.1 million public-school students and their families.”

“We’ve changed the way we work with our families – building trusting relationships with parents and parent leaders, and making them true partners in everything we do,” she added.

She was hired by the city in August 2018 at a hefty salary of $224,950. And the Carranza crony was set to make even more this year — $231,699, or 35 percent more than her last reported annual wage as the San Francisco mayor’s deputy chief of staff — thanks to huge pay hikes that the superintendent has been doling out, a Post analysis showed last month.

During her brief tenure in the Big Apple, Mendoza had been one of the DOE’s more visible faces, often tasked with coordinating parent town hall meetings with Carranza and Mayor de Blasio.

But she wasn’t exactly popular with some parents.

In June, Asian-American parents of some students in Brooklyn griped that Mendoza scheduled a “Chinese Family Forum’’ at a Sunset Park church from 10 a.m. to 1 p.m. on June 26 — the last day of school, and during hours when many of them were working.

Her departure comes about two months after another Carranza associate, Abram Jimenez, abruptly quit his $205,416-a-year DOE job when The Post exposed his rocky history as an educator.

A week after he left, the city’s Conflicts of Interest Board revealed a major financial conflict.

Before joining the DOE in September 2018, Jimenez was vice president of Illuminate Education, a software company based in Irvine, Calif. And within months of his departure, Illuminate began landing deals with city schools worth more than $700,000. Another firm acquired by Illuminate, IO Education, has also racked up millions of dollars since his hire.

As reported by The Post, financial disclosure forms showed that Jimenez still owned “restricted stock units” in the company after leaving the firm.