Bring a 6-quart stock pot to a boil.
Add the lasagna noodles and boil for 8 minutes.
Drain the noodles and set aside until the sauce is prepared.
In a 2-quart stock pot, melt the butter over medium heat.
Add the chopped mushrooms, chopped onions and garlic to the pot and sauté until tender.
Once all the vegetables are soft and mostly dry in the pot, add the flour.
Cook for 2-3 minutes.
Pour the chicken broth into the pot and stir, scraping the bottom to make sure nothing is sticking to the pot.
Add the sea salt, black pepper and heavy cream.
Simmer for 5 minutes or until thickened.
Remove the pot from the heat and add the parmesan cheese. Stir to melt the cheese and mix in with the sauce.
Add the shredded zucchini and shredded chicken. Stir to combine all ingredients.
Preheat the oven to 350℉.
Spread about 1/3 of the sauce on the bottom of the 13x9 baking dish.
Lay three noodles alongside of each other on top of the sauce.
Spread about 1 cup of mozzarella cheese and 1/4 cup of cheddar cheese on top of the noodles.
Continue sauce, noodles, cheese 2 more times.
Finish by topping with a layer of cheese.
Cover with foil and bake in the preheated oven for 40 minutes. Remove the foil and continue to bake uncovered for 10 additional minutes.
Remove the lasagna from the oven and allow to rest for 20 minutes before serving.