Parné is a colloquial and somewhat old-fashioned Spanish slang term for "money" or "cash", similar to "dough" or "lolly" in English.
It's an interesting word because it's not commonly heard in everyday conversation or many modern songs, making it unique to this track. In the lyrics, it appears in the line "Por un puñado de parné" (For a handful of money), implying that someone was easily bought or swayed by a small amount of cash, adding a layer of cynicism and betrayal to the song's narrative.
Beatriz Luengo's "Ná Te Debo" is a fiery breakup anthem where the singer declares she owes her ex nothing. She's paid her dues, even for her own pain, singing "Que he pagado con oro / Callarme mis penas" [That I have paid with gold / To silence my sorrows]. She's ready to move on, telling him, "No te quiero, no me quieras" [I don't love you, don't love me].
The song's title, "Bien Pagá" [Well Paid], is a sarcastic jab at the ex's accusation. She flips the script, saying he was the one "Bien pagao fuiste muy cruel" [Well paid, you were very cruel]. She cleanses herself of him, "Limpio el cristal de mis ojos en ti" [I clean the crystal of my eyes of you], and refuses to be his Eve in some twisted Eden. She's done with the drama and wants him to walk away: "Tú por tu camino yo por el mío / Así que camina" [You go your way, I'll go mine / So walk].