01 - Bring a large pot of salted water to a rolling boil for the gnocchi.
02 - Whisk together eggs, egg yolk, grated Parmesan, black pepper, and salt until completely smooth. Set aside at room temperature.
03 - Cook diced bacon in a large skillet over medium heat until crispy and golden, approximately 5–7 minutes. Remove bacon from skillet, leaving rendered fat behind.
04 - Add gnocchi to boiling water and cook according to package directions until they float to the surface, typically 2–3 minutes. Reserve 1/2 cup pasta water before draining thoroughly.
05 - Transfer drained gnocchi to the skillet containing bacon fat. Toss over low heat until evenly coated.
06 - Remove skillet from heat completely. Pour egg and Parmesan mixture over gnocchi while tossing constantly to create a creamy emulsified sauce. Add reserved pasta water one tablespoon at a time if consistency is too thick.
07 - Taste and adjust seasoning with additional salt or pepper as needed. Plate immediately, topping with reserved crispy bacon, extra Parmesan, and fresh parsley if desired.