Yes putting ice on your stomach does amazingly burn fat.
The reason that putting ice on your stomach burns belly fat is because the ice cold compress works by triggering the body into turning flabby white fat into calorie burning beige fat.
So by strapping a cold ice pack to your stomach for 30 minutes per day can help you lose belly fat and help you lose weight overall.
I've lost some belly fat by using an ice pack on my belly and even though I was skeptical at first it did work like people have said.
Exercise also helps you burn belly fat or burn off fat overall and it keeps you healthy too.