Preheat your oven to 350°F (175°C).
In a large mixing bowl, combine the ground turkey, breadcrumbs, grated Parmesan cheese, chopped onion, minced garlic, grated carrot, and parsley. Mix well.
Add the eggs, salt, black pepper, oregano, paprika, and ketchup to the bowl. Stir until all ingredients are fully incorporated and the mixture is well combined.
Transfer the turkey mixture into the prepared baking dish, shaping it into a loaf or a cake shape.
Spread a thin layer of ketchup on top of the turkey mixture for added flavor and moisture.
Bake in the preheated oven for 60 minutes, or until the turkey cake is cooked through and reaches an internal temperature of 165°F (74°C).
Remove from the oven and let it rest for about 10 minutes before slicing and serving.