how long should you cook a whole chicken rotisserie oven
1 Place the chicken onto a rotisserie and set the grill on high. 2  Cook for 10 minutes. 3  During that time, quickly mix together the butter, 1 tablespoon of salt, paprika and pepper.4  Turn the grill down to medium and baste the chicken with the butter mixture. Turn the grill down to medium and baste the chicken with the butter mixture. 2  Close the lid and cook for 1 to 1 1/2 hours, basting occasionally, until the internal temperature reaches 180 degrees F (83 degrees C) when taken in the thigh with a meat thermometer.