There are an estimated 414 calories in one baked chicken thigh with  skin. This serving also contains 31 grams of fat and 0.5 grams of  carbohydrates.n plain cooked (grilled, roasted, boiled, steamed) chicken legs (drumstick and thigh) there are: In plain cooked (grilled, roasted, boiled, steamed) chicken thighs there are: 1  approx 265 calories in 1 slightly larger (4 oz or 114g) leg including the skin.