Cook gnocchi as directed and set aside.
In a large pot over medium heat, saute onion, celery, garlic, and carrot until onion is translucent.
Stir in flour until well blended.
Add the half-and-half, broth, chicken, thyme, parsley, salt, and pepper. Stir well and heat to boiling, being careful not to let the milk scorch.
Once the soup is boiling, add gnocchi and simmer for 10 minutes.
Add the spinach and cook for an additional 5 minutes.
Serve with some crusty bread, breadsticks, or in a bread bowl.