Prepare a grill for high heat. Wrap 2 bricks with foil.
Remove the backbone of the chicken with kitchen shears. Place the chicken skin-side up and flatten the breastbone by pressing down hard with your hands or a cast-iron pan. Brush the chicken all over with oil, and sprinkle with salt and pepper.
Place the chicken on the grill skin-side down. Place the prepared bricks on top to keep the chicken flat. Cook, covered, for 30 minutes. Flip the chicken and cook, covered, until an instant-read thermometer registers 165 degrees in the thickest part of the thigh, 15 to 30 minutes more.
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