This is another inaccurate claim, usually made by those who have never even done cold thermogenesis.
At most, appetite may increase during the first few weeks… then it should normalize.
Regardless, the solution is simple: the increased appetite only occurs during the time after a session. Already have your post-CFB meal planned; a high protein, high fiber, low carb, low fat meal. It will fill you up, maintain protein synthesis, yet will add minimal calories.
Besides, if you use the Cool Fat Burner like in the “How I Eat Junk Food” video, or in the Body Recomp experiment, you won’t get hungry at all – you’ll be totally satiated from the huge carb junk food meal before using the Cool Fat Burner.