Pat your chicken breasts completely dry using paper towels, since this helps the seasoning stick and gives you a better sear. Sprinkle both sides evenly with salt, pepper, thyme, oregano, rosemary, and parsley. Press gently so the herbs adhere to the surface of the meat.
Heat the olive oil in your skillet over medium-high heat until it shimmers slightly. Lay the chicken in a single layer, making sure not to crowd the pan, and sear for 4 to 8 minutes per side until golden brown. Move the cooked pieces to a plate and cover loosely to keep them warm.
Drop the butter and chicken broth right into the same hot skillet you just used. As the butter melts, use your wooden spoon to scrape up all those browned bits stuck to the bottom, since that's where most of the flavor lives.
Turn the heat down to low so the garlic doesn't burn, then stir it into the buttery broth. Let it cook for about a minute, just until your kitchen fills with that unmistakable garlicky aroma.
Slide the seared chicken back into the skillet, flipping each piece so it's coated in that glossy sauce. Give it another minute or two on low heat if needed to warm through completely. Spoon extra sauce over the top right before serving for the best bite.