The teenager had "broken competition rules", based on producers from the show.
Cocozza admitted: "I no longer deserve my place in the show."
His antics have already prompted an Ofcom investigation in to the series.
The young wannabe has been pictured on a string of nights out because obtaining fame in the contest.
He made an impact inside the early stages when he boasted that the names of some of his lots of lovers were tattooed on his bottom.
He stated these days that his life had "gone out of control" whilst taking part within the show.
As he left, he stated sorry to his mentor, Gary Barlow, and fans who had been voting for him.
Lots of viewers were astonished that the singer remained inside the competitors following a below-par overall performance at the weekend.
Other acts were advising him to curb his behaviour to concentrate on the contest.
Andy Merry, of boyband The Threat - who had been voted out on Sunday - said: "We've said to him 'You've got a great chance right here, just calm down a bit'."
Cocozza stated currently: "I'd like to apologise to Gary, my fellow contestants and absolutely everyone who has voted for me, but, as of currently, I will no longer be within the X Element.
"My life throughout the show has gone out of manage and my behaviour off stage has overstepped the rules of the competition.
"I no longer deserve my spot in the show, so I am as a result leaving. I'd prefer to thank everybody who has supported me."
A spokeswoman for The X Aspect said: "Frankie is leaving the show today soon after breaking competition rules.
"He is going to take some time out ahead of continuing his career as a singer. We wish him all of the ideal for his future."
Just moments ahead of leaving the show nowadays, Cocozza boasted to fans on Twitter that he was shooting the video for an X Element charity single, Wishing On A Star.
Programme bosses stated they would make an announcement tomorrow about how the Saturday show will pan out.
It is the most recent drama to engulf the show this year as the programme struggles to match audiences in previous years.
Small over per week ago 1 group member walked out on the show, leaving The Danger to recruit a brand new member from yet another act which had currently been given the boot.
Plus the programme has had to contend with an on-air spat amongst judges Kelly Rowland and Tulisa Contostavlos.
Days later Rowland failed to return from a trip to Los Angeles, claiming she had a virus which prevented her from flying, and she had to fire one of her singers by telephone during a reside outcomes show.
Cocozza's behaviour has led to two investigations by Ofcom into possible breaches of its programme code.
It really is seeking into whether he fell foul of guidelines about swearing after he was noticed to shout "f****** have it - get in there", when he learned he was via for the next round for the duration of a results programme on October 23.
And the regulator is also looking into whether footage of him for the duration of a night out with good friends may well which may well have breached the code's guidelines on glamorising alcohol use.
Ofcom is also searching into a problem with an on-screen contest when many choice answers appeared in a distinct order through the programme.
It's not clear which programme rule had been broken by the 18-year-old from Brighton, and also a spokeswoman wouldn't elaborate.
Bookmaker Paddy Power refunded bets on Cocozza to people who had backed him, with stakes amounting to more than ?10,000.
Paddy Power mentioned: "Frankie punters did not get much of a run for their dollars so we're only too content to have a decent excuse to give their capital back."
The firm has Marcus Collins from Liverpool as favourite to win the show.
One more bookie, William Hill, has Collins as favourite to win, with Kitty Brucknell favourite to become given the chop this weekend.
Barlow stated he was "hugely disappointed" that Cocozza had "thrown away" the chance.
He said: "Frankie has apologised publicly also as personally to me plus the producers for his actions that led to him leaving the show.
"I'm hugely disappointed that he's thrown away an opportunity like this soon after working so difficult to get here.
"I'm sorry to determine him go as we've been by means of lots together in such a short time.
"I hope Frankie continues to appear to me as a friend and supporter and functions it all out, picks himself up and somehow tries to turn this into a positive."
Author Resource:-
This article has been written and researched by Andy, will the real Frankie Coccoza please stand up.