Using the large holes of a box grater, grate the zucchini into a colander, sprinkle with a good pinch of salt and using your hands, mix the salt through, let stand for 15 minutes.
Push the excess water out of the zucchini down through the colander. Make sure that the zucchini is well squeezed out.
In a large mixing bowl, mix together the zucchini, corn, chickpea flour, cheese (if using), green onion, basil, salt and pepper. Add a few tbsp. of water so the the mixture is not too try but not wet, it should hold together when making a ball.
Heat a large fry pan, add enough oil to cover the bottom and then some. Using your hands, scoop bout ⅓ cup of mixture, form a ball, gently place in the oil and flatten out the top. Repeat until you have about 6 fritters going. Fry for about 5-6 minutes, flip and repeat. Remove the first batch and repeat with a second and maybe a third batch. You should have about 12 fritters. BE CAREFUL, THE CORN CAN POP AND SPRAY HOT OIL