Fat and Cholesterol. If you bake your boneless skinless chicken breast without additional fat, a 100-gram serving has only 3.6 grams of fat. The same serving of adds 91 milligrams cholesterol to your diet.The fat and cholesterol levels in boneless skinless chicken breast are comparable to those in other very lean meat, including very lean cuts of beef and pork. serving of baked boneless skinless chicken breast adds only 165 calories to your meal. You can season with herbs and spices without adding calories. If you opt to brush chicken with sauce or oil before baking, you will be adding calories and possibly fat.