Parmesan Fish Sticks

Name: Parmesan Fish Sticks
Ingredients: 2 tablespoons olive oil; 2 pounds cod or haddock fillets; 1 cup all-purpose flour; 1 teaspoon kosher salt; 1/2 teaspoon freshly ground black pepper; 2 cups plain breadcrumbs; 1/4 cup chopped fresh parsley leaves; 4 tablespoons salted butter, melted; 1/2 cup grated Parmesan; 3 large eggs; Ketchup, for serving