In a large bowl, whisk together the eggs, mayonnaise, Dijon mustard, Worcestershire sauce, Old Bay seasoning, salt, and black pepper.
Add the lump crab meat, celery, parsley, and panko bread crumbs to the bowl. Gently fold everything together using a rubber spatula until well combined.
Take about 1/4 cup of the mixture and shape it into a ball. Place it on a baking sheet lined with parchment paper. Repeat this process with the remaining mixture, spacing the crab balls evenly on the baking sheet.
Brush the crab balls with melted butter for extra flavor and browning. (optional)
Refrigerate the crab balls for at least 30 minutes or overnight to help them hold their shape.
Preheat the oven to 450°F
Bake the crab balls for 12-15 minutes, or until they become lightly browned and crispy.
Serve the crab balls as an appetizer with tartar sauce for dipping, or alongside a fresh salad.