Whisk egg, mayo (or Greek yogurt), mustard, Worcestershire sauce, Old Bay, lemon juice, and salt together in a bowl. Then add the parsley, crab meat, panko bread crumbs, green onion, red pepper, and capers, and mix gently.
Form crab mixture into 8 equally sized patties, using a ⅓ cup measuring cup. Press patties together gently without flattening the patty – just enough for mixture to stick together.
Cook in the air fryer for 7 minutes. Flip the patties, and cook for an additional 5 minutes.
Serve warm with lemon slices and your favorite dipping sauce, if desired.