Combine the grated zucchini and kosher salt. Set aside for 5 minutes (no more, or it will be mush). Rinse in cold water and squeeze dry in a kitchen towel or press in a strainer or colander until dry.
Combine the cheese, egg, green onions, flour, pine nuts, dill, oregano, garlic, and pepper in a large bowl; fold in the zucchini. Form into 24 small cakes (about 2 tablespoons of mixture for each) and saute in olive oil, turning once, until browned, about 3 minutes on each side. Serve immediately.