Place the mesh strainer over the bowl and line it with cheesecloth.
Grate the potato, zucchini, shallot and garlic in a food processor.
Place the grated vegetables into the cheescloth and squeeze out as much liquid as possible. Pour out the liquid.
Place the grated vegetables into the empty bowl and mix with the egg, flour, salt and pepper.
Heat the oil on medium high. When the oil is hot, turn the stove to medium and add latke batter using the 1/4 cup scoop.
Fry the latke for 5 minutes on each side until golden.
Remove from the heat and drain on a paper towel. Serve hot.