Using kitchen scissors, carefully cut the top shell of each lobster tail down the middle, starting from the wider end to the tail. Be cautious not to cut through the meat.
Gently pull apart the shell, loosening the meat and lifting it slightly so it lays on top of the shell. This will help it broil evenly.
In a small saucepan over medium-low heat, melt the butter. Add the minced garlic and sauté for about 1-2 minutes until fragrant, being careful not to burn the garlic.
Stir in the chopped parsley, lemon juice, paprika, salt, and pepper. Mix well to combine.
Brush the garlic butter mixture generously over each lobster tail, making sure to get some of it into the crevices of the meat.
Place the lobster tails on a baking sheet and drizzle any remaining garlic butter over the tops.
Bake in the preheated oven for about 12-15 minutes or until the lobster meat is opaque and the internal temperature reaches 145°F (63°C).
For extra browning, switch the oven to broil for the last 2-3 minutes, keeping a close eye to prevent burning.
Remove the lobster tails from the oven and let them rest for a couple of minutes before serving.
Notes
Serve on a platter with lemon wedges and extra parsley for garnish.