UPDATE, June 19, 2019: From the official Twitter account of Frida Kahlo:
As far as the knowledge of the Kahlo Family is concerned, there are no records of Frida’s voice. Unfortunately Arturo Estrada Hernández, one of Frida’s students, already commented that the voice on the audio is not Frida’s voice.
— Frida Kahlo (@FridaKahlo) June 19, 2019
According to outlets like El PAÍS and The Guardian, Mexico’s National Sound Library has made public a recording of what could be Frida Kahlo reading from an essay she called “Retrato de Diego” (“Portrait of Diego”) that was reportedly made in 1953 or 1954 for a pilot episode of the “El Bachiller” radio show.
This is the unedited audio from EL PAÍS:
Here is The Guardian’s video with an English translation:
AFP noted that “while there are many silent films of [Kahlo], the Mexican culture ministry says there are no known audio recordings.”
AFP also reported the following:
“Frida’s voice has always been a great enigma, a never-ending search,” the head of the national audio archives, Pavel Granados, told a press conference at which the ministry unveiled the newly discovered recording.
“Until now, there had never been a recording of Frida Kahlo,” he added.
Who knows whether this is verified or not. It’s still pretty remarkable.
UPDATE, June 15: The Associated Press reported the following: “The director of the Frida Kahlo Museum, Hilda Trujillo, told The Associated Press on Thursday that “there’s still a long way to go” to verify the voice in question.”