The former X Factor star's indie-pop track only managed to premiere at number 89, trailing behind re-entries from Des'ree, whose 'I'm Kissing You' originally charted in 1997, and No Doubt's 'Don't Speak', from 1996.
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Cocozza rose to fame as part of last year's series of the singing competition, but was kicked off after he broke a 'golden rule' of the show, alleged to involve drug-taking.
He has since slammed The X Factor's producers, saying that they encouraged his bad behaviour.
"I just got caned week in, week out. I didn't want to be there but they did everything they could to keep me in," Cocozza told the Daily Star.
"Then when I kept getting through each week I think they thought: 'S**t, he could win this and we can't have that', so they f**ked me off in the most horrible way."
Watch the video to Frankie Cocozza's 'She's Got a Motorcycle' below:
Photo gallery - Top ten X Factor controversies:
Sharon Osbourne throws a glass of water over Louis Walsh after he threatened to quit the ITV show over alleged "bullying" by fellow judges including Osbourne and Simon Cowell back in series 2.
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Copyright: Rex Features Ken McKay/Rex Features
