In a large soup pot or Dutch oven, heat the oil over medium heat. Add the carrots, celery, onion, salt and pepper. Stir well and cook until the onions begin to turn translucent, 8-10 minutes, then stir in the garlic. Cook for another minute or two.
Add in the chicken, parsley, and Italian seasoning. Continue to cook until the chicken is browned and cooked through, about 7-8 minutes. Then stir in the flour and cook for a minute or two.
Slowly add the chicken broth, stirring to incorporate the flour. Add the half and half.Let the soup come to a boil and reduce to a simmer. Cook, stirring occasionally, until the soup thickens.
Stir the gnocchi into the pot and cook per package directions. When gnocchi is done, stir in the kale and simmer until tender. Serve hot topped with grated Parmesan cheese, if desired.
I am not a health professional and nutrition data is calculated programatically. Accuracy may vary with product selection, calculator accuracy, etc. Consult a professional for the best information.