Spanish term
Argentina
Multilingual Experts
Native in: English (Variants: US, Canadian, UK) 
Works in: English, Spanish to English, English to Spanish, and 12 more.
actuación publica
En resumen, las personas que, por cualquier circunstancia, han tenido una actuación pública no tienen derecho a impedir que se hable de ello. Sí podrían hacerlo cuando su imagen y su nombre se vean dañados por afirmaciones o publicaciones falsas o maliciosas. Quien alegue un daño de ese tipo, debe probarlo.
I am wondering if "actuación publica" refers to public servants and elected officials.
Thanks
Proposed translations
Chef and ex-restauranteur
Native in: English (Variant: British)
Works in: French to English, Spanish to English, Catalan to English, and 2 more.
people who take part in public life
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Note added at 1 hr (2020-12-14 13:57:51 GMT)
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Or simply: "people in public life"
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Note added at 5 hrs (2020-12-14 17:56:19 GMT)
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From what we have to go on, I think it is all about public figures having (or in this case of the OP's sentence not having) a right for their declarations not to be used/quoted.
"Public figures" might be a good way to express it.
https://www.cambridge.org/core/journals/cambridge-law-journa...
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patinba
41 mins
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thanks!
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Cláudia Pinheiro Pereira
1 hr
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thanks!
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AllegroTrans
7 days
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Brazil
Subtitling & Translations ENG/FRENCH/SPA
Native in: Portuguese (Variants: European/Portugal, Brazilian)
Works in: English to Portuguese, Portuguese to English, Spanish to Portuguese, and 4 more.
those who provided public service
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Note added at 13 mins (2020-12-14 12:47:34 GMT)
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or services
https://dictionary.cambridge.org/dictionary/english/public-service
https://www.collinsdictionary.com/dictionary/english/public-service
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AllegroTrans
: Nothing in ths text alludes to providing a public service
7 days
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Argentina
Resourceful, creative, passionate
Native in: Spanish (Variant: Latin American)
Works in: English to Spanish, Spanish to English
public appearance
"[...] the plaintiff’s voluntary public appearance at the press conference effectively waived his claim for invasion of privacy [...]"
https://www.meyerowitzcommunications.com/pdf/Public Interest...
Good luck!
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Robert Brown
: This seems the most likely to me, although it could be public performance depending on the context.
58 mins
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Much obliged!
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AllegroTrans
: I think this is much more generic than simply "appearance" - simply people with a public profile
7 days
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Austria
Retd.T&I, Barrister & Austro-Advokat
Native in: English (Variants: Scottish, British) 
Works in: Spanish to English, English to Spanish, French to English, and 5 more.
maintain a public profile
In this context, neither a government action as in the ProZ weblink, nor a guest appearance in public, even if speaking Spanglish or pidgin English.
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AllegroTrans
: Yes, whether or not in public office, whether or not performers. whether or not providing services
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United Kingdom
experienced and well qualified linguist
Native in: English (Variant: UK)
Works in: Spanish to English, English, Spanish, and 3 more.
public performance
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Note added at 2 hrs (2020-12-14 15:32:31 GMT)
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( ..si alguien toma parte en una actuación pública)
Puede ser también una acción pública. La información sugiere que si alguien toma parte en una acuación pública puede ser sujeto a comentarios cuando algunos grupos pueden hablar de él o ella.
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AllegroTrans
: this is the same answer as Pablo's; instead of re-posting, the polite thing to do on this forum is to post an agree
7 days
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United States
An economic geek with social skills
Native in: French
Works in: English to French, French to English, Spanish to English, and 1 more.
public office
| disagree |
AllegroTrans
: I see nothing here about public office - simply people with a public profile (royalty, politicians, film stars......)
7 days
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Mexico
Dual-Native English & Spanish Translator
Native in: English (Variants: US, Canadian, British, UK) , Spanish (Variants: Mexican, Standard-Spain, US, Ecuadorian , Dominican, Latin American, Peruvian, Colombian, Uruguayan, Cuban, Puerto Rican, Argentine, Chilean, Venezuelan, Costa Rican)
Works in: Spanish to English, English to Spanish
acted publicly
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AllegroTrans
: I think using the past tense, even though it is used in the ST, is misleading in English
7 days
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worked for int. orgs (IMF, OAS, IDB)
Native in: English
Works in: Spanish to English, German to English
a public role/role in public affairs
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Note added at 9 hrs (2020-12-14 21:40:43 GMT)
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so many suggestions already posted but I would say this covers it
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AllegroTrans
: I thinkd adding "role" fuzzes this a tad - can't really say that some very well-known/infamous people play a public role
7 days
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Cuba
English to Spanish translator.
Native in: Spanish
Works in: English to Spanish, Spanish to English
Discussion
You haven't said what this person or persons did, and I'm surprised that so many people are prepared to hazard a guess without the full context.