01 - Place diced potatoes in a large pot of salted water. Bring to a boil and cook until fork-tender, about 15 minutes.
02 - Drain and let sit briefly to steam off excess moisture. Mash until smooth.
03 - Mix in butter, egg yolks, Parmesan, salt, pepper, and nutmeg until well-combined. Allow to cool enough to handle.
04 - Divide mixture into 12 portions. With clean hands, roll each into an oval shape for the head. Form two small ear shapes and attach carefully to each head.
05 - Press in two slices of almond for ears, two peppercorns or pieces of olive for eyes, and one carrot piece for the nose.
06 - Place flour, beaten eggs, and panko in separate shallow bowls.
07 - Carefully dredge each bunny croquette in flour, dip in egg, then coat with panko breadcrumbs.
08 - Heat vegetable oil in a deep pan or fryer to 340°F. Fry croquettes in batches, 2–3 minutes per side, until golden brown and crisp. Remove with a slotted spoon and drain on paper towels.
09 - Let cool slightly before serving so decorations stay in place.