Sounds like an oxymoron (you need to eat fat to lose fat), but when you concentrate on the "good" fats, that's what happens.
Let's say this together: dietary fat does not make me fat. We need to focus on the quality of the fats we eat, not necessarily the quantity.
There are three types of fat — saturated, monounsaturated, and polyunsaturated. Eating all three kinds in a healthy balance can dramatically improve your health and even help you lose fat.
Your saturated fat should come from animal products. You can even toss in some butter or coconut oil for cooking. Your monounsaturated fat should come from mixed nuts, olives, and olive oil. Your polyunsaturated fat should come from flaxseeds, flaxseed oil, fish oil, and mixed nuts.