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Rinse and peel the potatoes. Grate the peeled potatoes into a bowl.
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Peel the onion and dice into small pieces. Mix the potatoes and onion together.
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Mix in the eggs and sprinkle in the flour.
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Season with kosher salt and freshly ground pepper and combine thoroughly.
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Divide the mixture into 8 portions and flatten into pancakes. Squeeze the liquid out of each pancake.
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Heat a layer of the clarified butter in a large skillet. Place a platter by the stove.
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Add the potato pancakes to the pan. If bits of the pancake scatter around the pan, use a spatula to scrape everything back into a pancake shape and flatten with the spatula. You may have to do this a few times to keep the shape. I worked with one pancake at a time, using portions of the clarified butter for each. Fry the potato pancake on both sides until golden.
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Remove the potato pancake from the pan and place on a platter. You can use the spatula but if the pancake seems too delicate, slide it onto the platter directly from the pan.
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Top with the radish leaf pesto, garnish with sliced radishes and serve.