Preheat oven to 400 degrees.
Season the chicken thighs with salt and pepper.
Heat extra virgin olive oil in a large skillet. Using an oven-safe skillet is useful because this dish does need to go into the oven later. If you do not have an oven-safe skillet, use a baking dish, but you will have to transfer the contents.
Brown the chicken thighs on both sides.
Remove to a plate or baking dish.
Add the butter to the pan drippings.
Saute the celery, onion, carrots and shallot until soft.
Stir in the Italian seasoning, smoked paprika and thyme leaf.
Sprinkle the Carbquik over the top of the vegetables and stir.
Whisk in the broth and white wine.
Simmer for 3-5 minutes, whisking occasionally.
Whisk in the half and hlaf and stir until thick about 1-2 minutes.
Season with salt and pepper.
Add the gnocchi and stir gently until coated with the sauce.
Add the spinach and allow it to wilt.
Stir it in until the spinach is incorporated.
Return the chicken to the pan and nestle it into the sauce if you have an oven-safe skillet, . If you do not have an oven-safe dish, you can place the chicken in a large baking dish and pour the gnocchi mixture over the top.
Sprinkle with Parmesan cheese.
Bake for 10-15 minutes.