Grate unpeeled zucchini on a box grater, on the side with larger holes.

Transfer zucchini into a mixing bowl and add remaining ingredients. Mix until well combined.
Preheat a skillet over medium low heat. Add some oil to pan. Scoop out even amounts of zucchini mixture and place into the skillet, gently pressing down to flatten into patties. 
Cook for about 5 minutes on each side or until nicely browned. Try to only flip once so there is less chance of them breaking apart.