Add the zucchini, vegetable broth and salt to the pot, bringing it to a simmer, and then cook for about 10 minutes.
While the soup mixture is simmering, whisk together the milk and cornstarch and then blend into the soup. Bring soup back up to a simmer, stirring and then slowly add the grated Parmesan cheese and the pepper. Stir until combined.
Serve hot with shaved/shredded Parmesan cheese on top.
Recipe by Three Different Directions at https://www.threedifferentdirections.com/creamy-zucchini-soup.html