01 - Remove fillets from the refrigerator 30 minutes before cooking to ensure even cooking.
02 - Pat steaks dry with paper towels and rub all sides evenly with olive oil, coarse sea salt, and freshly ground black pepper.
03 - Set the oven to 390°F (200°C) to prepare for roasting.
04 - Place a heavy ovenproof skillet over high heat and allow it to become very hot.
05 - Sear fillets for 2 minutes on each side until a golden-brown crust forms. Add butter, smashed garlic, and thyme to the pan.
06 - Tilt the skillet and spoon the melted butter over the steaks for 1 minute to enhance flavor.
07 - Transfer skillet to the preheated oven and roast for 6 to 8 minutes for medium-rare doneness (internal temperature 130°F).
08 - Remove from oven, transfer fillets to a plate, and tent loosely with foil. Let rest for 5 minutes to redistribute juices.
09 - Slice fillets if desired, sprinkle with flaky salt, and serve immediately.