Place the chicken, skin side up, on the cooler side of the grill, with the legs facing toward the hotter side.
Cover the grill, with vents on the lid open and aligned over the chicken.
Open the bottom vents of the grill.
Cook until an instant-read thermometer inserted into the thickest part of the breast registers 110°F (43°C).
Carefully flip the chicken and place, the skin side down, on the hotter side of the grill, with the breasts pointed toward the cooler side.
Press down firmly with a wide, stiff spatula to ensure good contact between the bird and the grill grates.
Cover and cook until the skin is crisp and an instant-read thermometer inserted into the thickest part of the breast registers 145 to 150°F (63 to 66°C), about 10 minutes longer.
If the chicken threatens to burn before temperature is achieved, carefully slide it to the cooler side of the grill, cover, and continue to cook until done. Do not leave the lid off for longer than it takes to check the temperature, or the chicken will burn.