Preheat the oven. Set it to 375°F (190°C). Grease a 9x13-inch baking dish with olive oil, butter, or cooking spray.
Cook the sausage. In a large skillet over medium heat, brown the sausage, breaking it into small pieces. Cook until no longer pink and lightly crispy.
Drain excess fat if needed and set aside.
Sauté the veggies. In the same skillet, add olive oil or butter. Sauté onion and bell peppers with a pinch of salt for 4–5 minutes, until softened. Add garlic and cook 30 seconds.
Stir in spinach just until wilted. Remove from heat.
Whisk the eggs. In a large bowl, whisk eggs, heavy cream, salt, pepper, smoked paprika, and oregano until smooth and slightly frothy.
Layer the dish. Spread the cooked sausage evenly in the baking dish. Scatter the sautéed vegetables over the top.
Sprinkle half the cheese over the vegetables.
Pour and top. Pour the egg mixture over everything. Gently shake the pan to distribute. Top with the remaining cheese.
Bake. Place in the oven and bake for 28–35 minutes, or until the center is set and a knife inserted in the middle comes out clean.
The top should be lightly golden.
Rest and serve. Let it sit for 5–10 minutes to set. Garnish with fresh parsley or chives, slice into squares, and serve warm.