Preheat oven to 375°F and butter a 9x13 baking dish.
Prepare noodles: rinse Palmini and soak 10 mins, or dry-toast shirataki, or salt and dry zucchini thoroughly.
Sauté garlic in butter 90 seconds; add cream and simmer 3–4 minutes until slightly reduced.
Remove pan from heat; add parmesan in three additions, stirring between each.
Temper egg yolks with warm sauce and stir back in for extra silkiness (optional).
Layer noodles, chicken, and sauce in baking dish; top with mozzarella and parmesan.
Bake 20–22 minutes until golden; broil 2–3 minutes for extra color.
Rest 8–10 minutes, garnish with parsley, and serve