Grate zucchini and put it in a bowl. Sprinkle with salt and let stand for 10 minutes. Squeeze out all of the excess moisture with a clean dish towel.
Add remaining ingredients to the zucchini and gently combine with your hands. Form 4-5 equal size patties. Place in a single layer in a dish and cover with plastic wrap. Refrigerate for a minimum of one hour or as long as overnight.
Right before cooking, coat each cold patty lightly in oil. Grill or pan fry for about 5 minutes per side, turning frequently to prevent burning, until the internal temperature reads 160 degrees.
Serve immediately with favorite burger toppings on warmed buns.
Notes
Recipe will easily make four big burgers or five regular sized burgers.