After years of fluctuating success in the United States, "Anything for You" marked a breakthrough for the group when it topped the Billboard magazine Hot 100 chart on May 14, 1988, and remained there for two weeks.

[4] The song also spent three weeks at #1 on the Adult Contemporary chart and peaked at #3 on the Hot Latin Tracks on June 25, 1988.

The B-side of the single was a Spanglish version of the song, with Estefan alternating the verses and chorus between English and Spanish.

The song also appeared on the compilation album Exitos de Gloria Estefan, sung completely in Spanish and retitled "No Te Olvidaré (I Won't Forget You)."

Pan-European magazine Music & Media described the song as "a glowing and highly atmospheric ballad in a glamorous production.