The reality TV star told Heat that the 18-year-old from Gary Barlow's Boys category was her type of man.
Hagan said: "On a scale of the steam factor, the kettle's boiled over. The pan has boiled over. You'd need a fire extinguisher."
The magazine claimed that it had read one of the text messages from Cocozza and that it was 'filthy'.
Of Cocozza's reputation as a womaniser, Hagan added: "He's 18 and has seven names tattooed on his bum.
"I wouldn't be surprised if he cheated, but I cheated on the telly. We'd make the perfect couple! He likes big boobs, I have big boobs!"
X Factor eliminee Amelia Lily has brushed off rumours that she and Cocozza are in a relationship and told Digital Spy that they are just "great friends".
> 'Geordie Shore' Holly Hagan: 'I want bigger boobs'
> 'Geordie Shore' cast bare all: Pictures
Watch the Geordie Shore girls teach Digital Spy the "slutdrop" below: