Place grated zucchini in a colander over the sink. Add 1 teaspoon salt and gently toss to combine; let sit for 10 minutes. Using a clean dish towel or cheese cloth, drain zucchini completely.
In a large bowl, combine zucchini, chicken, mozzarella, corn, Parmesan, flour, egg, chives, lemon zest and garlic; season with salt and pepper, to taste.
Heat vegetable oil in a large cast iron skillet over medium high heat. Working in batches, scoop 3-4 tablespoons of batter for each fritter, flattening with a spatula, and cook until the underside is nicely golden brown, about 2-3 minutes. Flip and cook on the other side, about 2 minutes longer.
Serve immediately with sour cream sauce.
For the sour cream sauce
In a medium bowl, combine sour cream, chives, lemon juice and garlic; season with salt and pepper, to taste. Set aside in the refrigerator until ready to serve.