Preheat the air fryer to 380°F (193°C).
Butterfly the lobster tails: using kitchen shears, cut lengthwise through the top of the shell, stopping before the fins. Spread the shell open and lift the meat out, keeping it attached at the base, then rest the meat on top of the shell.
In a small bowl, stir together the melted butter, minced garlic, lemon juice, salt, pepper, and smoked paprika.
Place the lobster tails in the air fryer basket, meat side up, in a single layer. Brush generously with about half the butter mixture.
Air fry for 5–8 minutes, depending on size, brushing with the remaining butter halfway through.
The lobster is done when the meat is opaque and reaches an internal temperature of 140°F (60°C) at the thickest part.
Garnish with fresh parsley and serve immediately with lemon wedges and any remaining butter for dipping.