Melt the butter and olive oil together in a large pot (4 quart or larger) over medium-low heat. Once the butter has melted, add the carrots, onions and celery with a pinch of salt and cook for about 5 minutes, stirring occasionally. Then stir in the garlic and cook for 2-3 minutes more. Sprinkle the flour over the veggies and stir to incorporate. Stir and cook an additional 2-3 minutes.
Pour in the broth, shredded chicken and the seasonings. Increase the heat to medium-high and let this come to a low boil. Once it begins to boil, stir in the diced potatoes and let them simmer for 2 or so minutes. Then stir in the egg noodles and let simmer for 8-9 minutes more, until the noodles and potatoes are both soft.
Remove the pot from the heat. Stir in the parsley and while stirring, slowly drizzle in the cream until it is all added and incorporated. That's it! Serve immediately.
Refrigerate any leftovers in a large Tupperware container. To reheat, place desired amount in a small saucepan. Add a bit of extra broth, because the noodles will absorb a lot of the liquid during refrigeration. Bring to a simmer and simmer until heated through, about 5 minutes or so.
