Slice the zucchini into coins about 1/2-inch wide. Put them in a bowl with the onion and toss with the rice flour to coat evenly.
Heat a 12-inch (preferably non-stick) skillet over medium high heat until hot. Pour in the olive oil and heat until it just begins to shimmer.
Put the zucchini-onion mixture and lemon slices into the pan, cut side down. They should sizzle right away, otherwise the pan isn't hot enough yet. Season with a generous pinch of salt and cook undisturbed for 2 or 3 minutes, until the zucchini turn dark golden brown on one side.
Flip the zucchini over, either by shaking the pan or with a wooden spatula, to cook the other side. Add the pine nuts to the pan and sprinkle with a little more salt.
Remove from the heat and stir in the parsley. Squeeze the juice from the fried lemons over the salad and serve right away topped with shaved cheese.