Bring a pot of heavily salted water to a boil.Chop zucchini into cubes, slice shallot and garlic cloves into thin slices. When the water is boiling, place the pasta in the pot to boil.
Heat olive oil in a large saute pan over medium heat and add the shallots and garlic to the pan. Suate until the garlic and shallot are soft and fragrant - about 3 minutes.
Add the cubed zucchini to the pan and saute until soft about 4 minutes. Add the spinach to the pan and saute until it is just soft and wilted. Add the salt to the pan and toss again.
Reserve 3/4 cup of the pasta water from the pot. Drain the pasta and set aside. Place warm sauteed veggies in a blender with the pasta water, basil, heavy cream and parmesan cheese.
Blend until a smooth and creamy sauce remains. Toss the warm noodles in the warm creamy sauce. Serve with extra parmesan cheese and lemon zest.