In a large bowl, combine potatoes, Parmesan, flour, garlic, eggs, green onions and cayenne pepper; season with salt and pepper, to taste.
Heat olive oil in a large skillet over medium high heat. Scoop tablespoons of batter for each pancake, 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.
Notes
*4 large russet potatoes can be substituted, coarsely grated and drained completely to extract as much liquid as possible.