Preheat the oven's griller and set the oven rack about 15cm from the heat source. Rub olive oil over each chicken breast then season both sides with salt and black pepper. Place the chicken skin-side down on a baking tray.
Grill in the preheated oven for 10 minutes then flip the chicken breast skin-side up. Continue grilling the chicken until no longer pink at the bone and the juices run clear, about 10 minutes. Remove from the oven and allow meat to rest for 5 minutes before serving.
If desired, add 1/4 cup of water to the bottom of the baking tray and stir to dissolve the browned-bits from the chicken juices. Use as a light sauce on the chicken.