I can listen to any radio station: Esta frase está correta?

Esta frase está correta? I have the tuneln APP, so I can listen to any radio station.
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Yes, "any" in positive sentences would mean "qualquer".

Any is also used to make questions and negative sentences, but then it´s another can of worms altogheter (that is, not what is at play right now.)

Technically, to the nitpickers (stickler for detail) you can´t listen to any radio (you wish), it would be a lot of radio stations and some perhaps wouldn´t even be compatible with TuneIn.
Anyway, your sentence is valid and used a lot, a fixed expression of sorts. Use it freely. :P