01 - Bring a large pot of salted water to a boil over high heat.
02 - Whisk together eggs, egg yolk, grated Parmesan, black pepper, and salt in a bowl until smooth. Set aside.
03 - In a large skillet over medium heat, cook diced bacon until crispy, about 5–7 minutes. Remove from heat and set aside, leaving rendered fat in the skillet.
04 - Cook gnocchi in boiling water according to package directions, typically until they float to the surface, 2–3 minutes. Reserve 1/2 cup pasta water, then drain.
05 - Add drained gnocchi to the skillet with bacon and toss over low heat until coated in the rendered fat.
06 - Remove skillet from heat. Pour egg and Parmesan mixture over gnocchi, tossing constantly to form a creamy sauce. Add reserved pasta water one tablespoon at a time if needed to achieve desired consistency.
07 - Taste and adjust seasoning as needed. Serve immediately with extra Parmesan and chopped parsley if desired.