Barlow feels 'responsible' for Cocozza going astray.
The party-loving teenager was booted out of the show on Tuesday after apparently boasting about drugs, which programme bosses said broke the rules.
His mentor Barlow said he feels a "level of responsibility" for Cocozza's departure and also blamed fellow panellist Louis Walsh for giving the 18-year-old negative comments on Saturday night.
In the wake of Cocozza's departure, the four acts who were axed by their own mentors have been given a lifeline to return to the competition.
James Michael, Amelia Lily, 2 Shoes and Jonjo Kerr each have a chance to rejoin the contest alongside the six remaining finalists on Saturday.
In a press conference announcing the new twist, Barlow said: "I do feel a level of responsibility towards him but unfortunately I can't follow him around all week.
"We try and take care of them while they are in our company. I said to him on a regular basis 'You are a young guy, have fun but work hard at the same time'.
"We have all played our part in what has happened with Frankie and I don't think any of us are guilt free in that.
"Especially as I am sat here with all of the press, we have all encouraged Frankie not only to be good but to be bad as well."
* Gary Barlow says he feels responsible for Frankie Cocozza going astray