Pat the chicken dry and season both sides with salt, pepper, and Italian seasoning. Heat olive oil in a large soup pot over medium-high heat. Sear the chicken for 3-4 minutes per side until lightly golden. Remove and let rest for 10 minutes, then dice or shred using two forks.
Begin boiling a salted pot of water for the egg noodles as you proceed with the following steps.
Deglaze the soup pot by adding the white wine over medium heat, scraping the bottom with a silicone spatula to incorporate browned bits. Let it reduce by half, about 4 minutes.
Add butter to the pot, followed by the diced onion, celery, and sliced carrots. Sauté for 5-6 minutes until softened. Stir in the garlic, soy sauce, hot sauce, and seasoning blend. Mix thoroughly, then sprinkle in the flour, cooking for 2 minutes.
Gradually pour in the chicken broth, stirring constantly to ensure a smooth mixture. Follow with the heavy cream in the same manner. Add the bouillon cube and bay leaf. Bring the soup to a boil, then reduce to a gentle simmer.
Return the chicken along with its juices to the pot. Cover partially and simmer gently for 15 minutes, avoiding a full boil to keep the chicken tender.
Cook the egg noodles in the boiling water according to package instructions. Drain and set aside.
Remove the bay leaf from the soup. To serve, place noodles in bowls and ladle the soup on top. If no leftovers are expected, stir the noodles directly into the soup pot. Garnish with parsley and serve immediately.