Slice the chicken breasts horizontally into two pieces. If desired, pound the meat with a mallet or plate until the pieces are about 1/4th to ½ inch thick.
Mix the two eggs in a bowl with the black pepper, salt, oregano, thyme, and 1 clove of minced garlic. Dip each piece of the chicken into the egg mixture.
Mix the Parmesan cheese and flour together. Dip each piece of chicken into this mixture after the egg coating.
Heat the olive or avocado oil in a large frying pan or skillet. Fry two to three pieces of chicken at a time over medium heat, for about 4 to 5 minutes per side. Aim for an internal temperature of 160 degrees F. Make sure each side is evenly browned.
Set the chicken aside. When all of the pieces are done, move on to the sauce.