Place zucchini is a small strainer. Sprinkle with ½ tsp. salt and let sit 5 minutes; drain.
In a mixing bowl, combine 3 cups flour, yeast, 2 Tbsp. cheese and sugar and remaining salt.
Add the zucchini and stir to combine. Combine water and butter and add to dry ingredients. Stir to form a soft dough.
Place on a floured surface and knead 6-8 minutes or use your stand mixer and let it do the work for you. Place in a greased bowl turning over to grease the top. Cover and let rise until double, about one hour.
Shape into 18-24 balls and place in 2 greased 9x13 pans or a cookie sheet. Sprinkle with remaining cheese. Cover and let rise again until doubled.
Bake at 375 degrees F for 20 to 25 minutes until golden on top. Remove from pan to a wire rack to cool.
Recipe by Mandy's Recipe Box at https://mandysrecipeboxblog.com/zucchini-dinner-rolls/