A whole fryer or broiler chicken will take about 2 hours to cook in the oven at 350 degrees. Season your chicken as desired and place in a roaster pan. Cover it tightly and bake for 1 hour and 45 minutes. Remove the cover and finish baking for 15 more minutes.Check doneness with a meat thermometer.ings will take about 25 to 30 minutes. Chicken legs, thighs, and wings cook faster than the larger bone-in breasts. Chicken thigh and leg quarters will take longer if cooked as one piece--about 1 hour.