The best way to cook a juicy chicken breast is to pan-fry it. Start by patting the chicken breasts dry with paper towels and season them with salt and pepper. Heat some olive oil in a pan over medium-high heat. Put the chicken breasts in the pan and cook for about 5 minutes on each side, or until they reach an internal temperature of 165°F. Let the chicken breasts rest for 5 minutes before serving.