Dice the potato into small 1/2-inch cubes to ensure they cook quickly and achieve a crispy exterior.
Heat the avocado oil in a large cast-iron or heavy-bottomed skillet over medium-high heat.
Add the potatoes to the skillet in a single layer; cook for 8-10 minutes, stirring occasionally, until golden brown and tender.
Add the diced onion and bell pepper to the skillet, sautéing for about 3 minutes until the vegetables have softened.
Push the potato and vegetable mixture to the side of the pan and add the ground beef to the center, breaking it up with a spatula.
Season the entire skillet with sea salt, black pepper, garlic powder, and smoked paprika, stirring everything together once the beef is mostly browned.
Continue cooking for 2-3 minutes until the beef is fully cooked and the potatoes are extra crispy, then transfer the hash to a serving plate.
In the same skillet, crack the egg and fry to your preference (sunny-side up or over-easy) until the whites are set.
Slide the fried egg onto the beef and potato hash and garnish with fresh chopped parsley before serving.