Use a sharp boning knife to carefully cut down the length of each lobster tail's shell, exposing the meat without damaging it. Gently lift the meat out of the shell, resting it on top, and season lightly with salt and pepper.
In a small saucepan, melt the butter over low heat. Add the minced garlic and cook gently until fragrant, about 1 minute — the butter will start to bubble softly and smell nutty.
Stir in the freshly squeezed lemon juice and the grated lemon zest, letting the aroma brighten as the mixture warms. Keep the lemon butter warm but not boiling.
Preheat a non-stick skillet over medium heat until hot, about 160°C (320°F). Add a splash of olive oil if needed to prevent sticking, then carefully place the lobster meat side down in the skillet. Sear for 2-3 minutes until the shell turns a bright red and begins to crackle.
Flip the lobster tail and cook for another 2 minutes, spooning the lemon butter over the meat to baste and keep it moist. The lobster is ready when it’s opaque, firm, and glossy.
Remove the lobster from the skillet and let it rest briefly for 1-2 minutes. Spoon additional lemon butter over the meat and sprinkle with chopped parsley for a fresh, colorful finish.
Serve immediately with lemon wedges on the side, allowing everyone to enjoy the tender, juicy lobster with a burst of bright citrus flavor each bite offers.