01 - Pat cod fillets completely dry with paper towels. Season both sides generously with salt and black pepper.
02 - Lightly coat seasoned fillets in flour, shaking off any excess to ensure a thin, even layer.
03 - In a large skillet over medium-high heat, warm olive oil with 1 tablespoon butter until foaming subsides.
04 - Place fillets in hot pan and cook 2–3 minutes per side until golden brown and just opaque throughout. Remove to a plate and cover loosely with foil.
05 - Reduce heat to medium. Add remaining 3 tablespoons butter and minced garlic to the skillet. Sauté briefly for 30 seconds until fragrant, being careful not to brown the garlic.
06 - Pour in white wine while scraping up browned bits from the bottom with a wooden spoon. Let simmer for 1 minute to reduce slightly.
07 - Add lemon juice, capers, and chicken broth. Simmer for 2–3 minutes until sauce thickens and reduces by about one-third.
08 - Return cod fillets to the skillet, spooning sauce generously over each piece. Heat through for 1–2 minutes. Garnish with fresh parsley and lemon slices. Serve immediately while hot.