The 18-year-old is said to have told mentor Gary Barlow that he was fed up with the abuse from all his haters and said he's had enough.
A source said to UK newspaper The Sun: 'Frankie had a meltdown. He knows he won't win and can't be bothered with all the haters.'
But The Risk were then booted off the show with Johnny Robinson and Kitty Brucknell ending up in the bottom two with Robinson then also kicked off.
After the results show, Frankie said: 'I won't lie, it's been a tough week. I thought I was going, but luck was on my side.'