"Frozen" received acclaim from music critics, some of whom deemed it an album standout. It was described as being a masterpiece, and its melodic beat and sound were defined as "cinematic".
A mid-tempo electronica ballad, "Frozen" talks about a cold and emotionless human being.
Madonna stated that she and her team thought of filming the video in Iceland, as the idea to the video was to go someplace cold and where there is snow, but declined the idea.
"Frozen" was written by Madonna and Patrick Leonard, and it was produced in collaboration with William Orbit.
In 2005, a judge in Belgium ruled that "Frozen" was plagiarized from a song by Salvatore Acquaviva, and it was banned from the region. This ruling was overturned in 2014, lifting the Belgium ban on the song.