Pat the chicken dry with paper towels. Sprinkle both sides with salt, pepper, and smoked paprika if using. Dry surface means better browning.
Heat olive oil in a large skillet over medium-high heat. Add chicken in a single layer. Cook 5–6 minutes without moving until the bottom is deep golden. Flip and cook another 4–5 minutes until nearly cooked through. Transfer to a plate.
Lower heat to medium. Add garlic and oregano to the same skillet. Stir 30 seconds until fragrant do not let the garlic burn. Pour in chicken broth and scrape up the browned bits. Add lemon juice, zest, tomatoes, and olives. Simmer 2–3 minutes until the tomatoes soften slightly and the sauce reduces a little.
Return chicken and any juices to the skillet. Spoon sauce over the top. Cook 2–3 more minutes until the chicken reaches 165°F in the thickest part and the sauce looks glossy. Sprinkle with parsley and serve with lemon wedges.