Season the chicken breasts on both sides with salt and pepper.
Heat an oven-proof stainless steel frying pan over medium heat until very hot.
Add sunflower oil to the pan and test the temperature by placing a corner of the chicken breast, skin side down, in the pan. You want a good, healthy sizzle.
Place the chicken breasts in the pan, skin side down, and cook for 2-3 minutes, or until the skin is evenly colored.
Flip the chicken breasts and remove the pan from the heat. Allow the pan to cool for 30 seconds.