Heat oil in a medium pan over medium high heat.
Sprinkle both sides of the chicken with a pinch of coarse salt and freshly ground black pepper. Evenly rub the Italian seasoning all over the chicken, then sear in the pan, covered, for five minutes per side. Remove from the pan and let rest on a plate.
Back in the pan with the browned bits, add 1 Tbs. of butter. Once melted and foaming, add the minced garlic and shallot. Sauté the aromatics for about 30 seconds, letting them get coated in the butter. Add 2 Tbs. white wine to the pan to deglaze.
Using a wooden spoon, sauté garlic and shallots for 30 seconds while scraping up the browned bits. Then add the rest of the wine and the chicken stock. Let the sauce simmer for five minutes, before adding the remaining 3 Tbs. of butter and the chopped oregano and a pinch of salt. Let it simmer another five minutes, allowing the sauce to bubble and reduce.
Bring a pot of salted water to a boil, and cook the egg noodles until they’re just al dente. Transfer the noodles to the pan sauce and let them finish cooking, absorbing the liquid.
Add cooked chicken back in the pan, and finish with lemon juice, fresh parmesan, parsley, and another tablespoon of butter, if you wish!