However the Briton told Sky Sports News that he still aimed to compete for Britain at the 2016 Rio Olympics, when new procedures should ensure that those top-ranked in the world will qualify.
Cook said he could not see a way forward with GB Taekwondo after they overlooked him for his home Games and selected instead Lutalo Muhammad, who went on to win a bronze medal.
"I felt there was nothing more I could have done to get selected for the Olympics, I was reigning European champion and world number one," said the fighter, who trains outside the national body's set-up.
"I'm never going to work with those people again, they've made their minds up with what they've done to me. And I've made my mind up."