Whisk the rub ingredients together and rub on the pounded out chicken breasts. Place the chicken in a bowl and allow to marinate in the rub for at least 30 minutes.
Before cooking, allow the chicken to sit at room temperature for at least 15 minutes. Then, heat a large non-stick skillet over medium heat. Add the chicken once the skillet is hot.
Cook the chicken for 3-5 minutes on each side, then flip and cook for about 7 minutes. Once cooked through, remove the chicken from the heat and allow it to rest for 5 minutes before slicing.
To make the Avocado Crema, mix all ingredients an pulse in a blender. You can make it a few hours in advance and store in the refrigerator, if needed.