In a 10 or 12-inch cast-iron skillet, heat 1 tablespoon of olive oil over medium heat.
Add the finely chopped scallions, chopped broccoli (or broccolini), and a pinch of salt and pepper to the skillet.
Cook the mixture, stirring occasionally, until the broccoli is tender and vibrant green, approximately 5 to 8 minutes.
Stir in the smoked paprika, ensuring it is well incorporated.
Pour the egg mixture into the skillet, gently shaking the pan to evenly distribute it.
Sprinkle the crumbled feta cheese on top of the mixture.
Bake the skillet in the oven for 15 to 20 minutes, or until the eggs are fully set.
Season the dish to taste and serve.