Combine olive oil, lemon zest, lemon juice, Dijon, garlic, dried oregano, dried basil, salt and pepper in a bowl or large zip-top plastic bag. Whisk or squeeze bag to mix.
If using boneless, skinless chicken breasts: Pound the chicken breasts to an even thickness before adding them to the marinade. This helps them to cook evenly and also tenderizes the meat. Place chicken breasts in a zip-top bag or between two layers of parchment paper or plastic wrap and use a rolling pin or meat mallet to pound the chicken until it is an even thickness.
Add the chicken to the bag or bowl and coat chicken with marinade. Refrigerate for at least 30 minutes and up to 12 hours. I usually aim to marinate chicken for 1-4 hours.
Cook the chicken: Discard marinade and cook chicken in the oven, on the stove, on the grill or in the air fryer, according to the directions below. Chicken is done when the internal temperature registers 165° F on an instant read thermometer.
To Cook on the Grill: Clean the grates of a gas or charcoal grill. Oil the grill grates and heat the grill to medium-high (375-450 degrees F). Grill chicken breasts for 5-8 minutes per side, until cooked through. (Boneless chicken thighs will take 7-10 minutes per side; reduce heat to medium when cooking.) The internal temperature of the chicken should reach 165° F. For the best grill marks and juicy chicken, begin cooking the chicken on a hotter part of the grill for a few minutes and then move it to lower heat to finish cooking through. Let chicken rest for 5 minutes before serving.
To Cook on the Stove: Heat 1 tablespoon of olive oil in a large heavy skillet (such as a cast iron skillet) over medium-high heat. Add the chicken to the pan (work in batches if needed) and cook chicken breasts for about 5-8 minutes per side (cook boneless chicken thighs for 8-10 minutes per side), or until chicken is cooked through to an internal temperature of 165° F. Let rest for 5 minutes before serving.
To Cook in the Oven: Preheat oven to 425° F. Place chicken in a baking dish. Bake chicken breasts according to their size: bake 5-6 ounce breasts for 13-16 minutes, bake 8 ounce breasts for 16-19 minutes, bake 11-12 ounce breasts for 22-26 minutes. Chicken is done when it reaches 165° F in the thickest part of the meat.Bake boneless chicken thighs for 20-30 minutes, until chicken reaches 165° F.Let rest for 5 minutes before serving. To Cook in the Air Fryer: Place chicken in a single layer in the air fryer. Cook at 400° for 8 minutes, then flip chicken over and continue cooking for 5-12 more minutes, or until the internal temperature of the chicken is 165° F at the thickest part of the breast. (Boneless chicken thighs will take 11-15 minutes total. No need to flip them.) Let chicken rest for 5 minutes before slicing and serving.