Place the flatbreads on a baking sheet, and drizzle each one with half a teaspoon of olive oil. Sprinkle each flatbread with garlic powder.
Add shredded cheese to the top of each flatbread, using the cheese to make a well for 1-2 eggs in the center of the pizza.
Place the cherry tomatoes and prosciutto on top of the pizza, leaving the middle of each well open for the egg.
Carefully place an egg into the middle of each well.
Put the sheet pan on an oven rack in the top third of the preheated oven. Bake the pizzas for 8-12 minutes, until the egg whites are set and the egg yolk is cooked to your preference.
Remove the pizzas from the oven and sprinkle the top of each pizza with salt and pepper, a pinch of red pepper flakes (to taste), and a handful of baby arugula leaves.
Notes
The best way to add the eggs is to crack them separately into a small bowl and then tip them from the bowl to the top of the pizza.
Feel free to add additional toppings such as peppers, onion, or mushrooms.
Cooked bacon or sausage can be used in place of prosciutto.
You can use any shredded or crumbled cheese, such as cheddar, feta, gouda, or parmesan.