Antigua translates to "old-fashioned" or "antique." While it can refer to something literally old, in this song, it's used to describe a romantic style that's classic and traditional, contrasting with modern dating.
Pedro Fernández sings "Amarte a la antigua" (To love you in the old-fashioned way), expressing a desire for a timeless, deeply romantic relationship filled with gestures like writing letters, giving roses, and singing songs, rather than the fleeting nature of modern love.
Have you ever wished for a love story straight out of a classic movie? That's exactly what Pedro Fernández is singing about in "Amarte A La Antigua"! He's looking at modern romance and shaking his head, noticing how "Hoy ya no se escriben cartas para enamorarse" [Today letters aren't written to fall in love] and "Ya no existen los poemas para conquistarse" [Poems no longer exist to win someone over]. Instead, it's all emails and no chocolates!
But our singer isn't having any of it! He declares, "Pero me niego a renovarme es mi manera" [But I refuse to modernize, it's my way]. He wants to "Amarte a la antigua" [Love you in the old way], which means filling your life with roses, singing you songs, and writing you poetry. He dreams of taking your hand, opening doors for you, and making every minute count, because "Ahora los amores duran solo un instante" [Now loves only last an instant], but with this person, "Cada minuto es importante" [Every minute is important]. It's a sweet, romantic rejection of fast-paced modern love for something more timeless and heartfelt.