Preheat oven 350 degrees.
Heat olive oil in large cast iron skillet. Add potatoes and onions and cook until tender, about 15-20 minutes.
Place strainer over large bowl. When potatoes/onions are tender pour into strainer and save the olive oil.
In large bowl, beat eggs. Add sweet paprika and season generously with salt and pepper. Add drained potatoes and onions to eggs and stir to combine.
Add enough reserved olive oil back into the cast iron skillet to liberally coat the bottom of the pan, about 3-4 tbls). Add potato/onion/egg mixture.
Bake in oven until egg is set and top is golden brown. Remove from oven and let sit for about 5 minutes prior to serving. Garnish with chopped parsley and flakey sea salt.