-
1
Preheat oven to 475 degrees F (245 degrees C).
-
2
Cook and stir sliced Italian sausage in a skillet over medium heat until some of the fat has rendered out and sausage is no longer pink inside, about 5 minutes. Transfer sausage slices to a paper towel-lined plate to drain.
-
3
Roll pizza dough out to about 12 inches in diameter and about 3/8-inch thick; sprinkle with cornmeal. Flip dough so the cornmeal side is down and transfer to a perforated 14-inch pizza pan.
-
4
Spread pizza sauce in a thin layer on top of the dough. Sprinkle with red pepper flakes and about 3/4 the Fontina cheese. Spread sausage slices onto the pizza, leaving 4 spaces about 3 inches across on the pizza for eggs. Sprinkle remaining Fontina cheese onto sausage slices.
-
5
Bake in the preheated oven until dough is hot, edges are starting to brown, and cheese has started to melt, 10 to 12 minutes.
-
6
Crack each egg into a separate ramekin or small bowl. Remove pizza from oven and use a spatula to press the spaces between sausage slices flat. Gently pour an egg onto each space. Grind a little black pepper onto each egg yolk. Lightly sprinkle Parmigiano-Reggiano cheese over entire pizza.
-
7
Return to oven and bake until eggs are set but yolks are still liquid, about 5 minutes, checking frequently to avoid overcooking eggs. Toss arugula leaves with olive oil in a bowl until coated. Remove pizza from oven, poke egg yolks with a fork, spread them around a little, and sprinkle arugula over the top of the pizza. Cut into 4 quarters, each with an egg, to serve.