01 - Season sea bass fillets evenly with kosher salt and black pepper on both sides.
02 - Warm olive oil in a large nonstick skillet over medium-high heat until shimmering.
03 - Place fillets skin-side down and press gently with a spatula for uniform contact. Sear 3–4 minutes until skin is crisp and golden.
04 - Turn fillets carefully and cook an additional 2–3 minutes until opaque and flaky. Remove from skillet and keep warm tented with foil.
05 - Reduce heat to medium, add 1 tbsp butter and minced shallot to the same skillet, sauté for 1 minute until aromatic.
06 - Incorporate garlic and capers, cooking for 30 seconds with stirring.
07 - Stir in fresh lemon juice followed by remaining 2 tbsp butter, swirling until the butter is melted and sauce is slightly emulsified.
08 - Remove skillet from heat and fold in chopped parsley and lemon zest.
09 - Ladle lemon caper butter sauce over sea bass fillets and serve immediately.