Bring to a simmer and cover, reduce heat to medium-low and cook for 12-15 minutes.
Stirring occasionally, until chicken breasts are cooked through (you will need an internal temperature of at least 165 degrees F).
When the chicken is cooked, remove from the soup and shred. Stir dry Mafalda Corta pasta or broken lasagna noodles into the broth. Cover and cook until the pasta is al dente.
In a small bowl, whisk together half and half and corn starch until smooth.
Stir the shredded chicken, the half and half mixture, and roughly chopped fresh spinach into the pot. Heat through until slightly thickened.
Stir in ricotta cheese and mozzarella cheese until melted and combined.
Serve topped with Parmesan cheese, divided among servings as desired.