The singer is thought to be referring to her marriage to Guy Ritchie on 'I Don't Give A', which is taken from her upcoming record MDNA.
According to the New York Post, lyrics in the track include: "I tried to be a good girl / I tried to be your wife / Diminished myself / And I swallowed my light / I tried to become all / That you expect of me / And if it was a failure / I don't give a..."
Reports have suggested that the lyrics allude to Madonna losing her identity during the eight-year marriage, which saw her move to England.
It was recently confirmed that Nicki Minaj will make an appearance on 'I Don't Give A', after featuring on lead single 'Give Me All Your Luvin''.
'Girl Gone Wild' will be the second single to be lifted from MDNA, which will be released worldwide on March 26.
Watch the lyric video for Madonna's 'Girl Gone Wild' below: