Place chicken breasts between two sheets of plastic wrap or parchment paper. Using the flat side of a meat mallet, gently pound to an even thickness of approximately ½-inch.
In a small bowl, combine paprika, thyme, oregano, garlic powder, onion powder, cayenne pepper, salt, and black pepper. Whisk thoroughly to ensure even distribution.
Pat chicken breasts completely dry with paper towels. Apply the spice mixture liberally on both sides, pressing firmly to ensure adhesion. The coating should be approximately 1/16-inch thick.
Place cast iron skillet over medium-high heat for 5-7 minutes until thoroughly heated (a drop of water should instantly evaporate).
Add clarified butter or ghee to the hot skillet, tilting to coat the cooking surface evenly. Allow it to heat until it begins to shimmer.
Carefully place seasoned chicken breasts in the skillet. Do not move them for the first 4-5 minutes to allow proper crust formation.
Flip when the first side has developed a deep mahogany color with blackened edges. Cook for an additional 4-5 minutes.
Check internal temperature with a meat thermometer inserted into the thickest part. The target is 160-162°F.
Transfer chicken to a cutting board and allow to rest for 3-5 minutes before serving. Serve with lemon wedges.