Preheat your oven to 375°F (190°C).

In a large mixing bowl, combine cooked crab meat, mayonnaise, Dijon mustard, melted butter, chopped parsley, lemon juice, salt, and pepper. Stir until evenly incorporated.

Slice the English muffins in half horizontally and arrange them cut side up on a prepared baking sheet.

Generously spoon the crab mixture onto each muffin half, spreading it evenly.

Sprinkle shredded cheddar cheese over the crab-topped muffins.

Bake in the preheated oven for 15–20 minutes until the cheese is melted and golden brown.

Remove from the oven, cool slightly, garnish with fresh parsley, and serve warm.