01 - Place the diced potatoes in a large pot of salted water. Bring to a boil and cook until fork-tender, approximately 15 minutes.
02 - Drain thoroughly and let sit briefly to steam off excess moisture. Mash the potatoes until completely smooth.
03 - Mix in butter, egg yolks, Parmesan, salt, pepper, and nutmeg until well-combined. Allow to cool enough to handle comfortably.
04 - Divide the mixture into 12 equal portions. With clean hands, roll each into an oval shape for the bunny's head. Form two small ear shapes and attach carefully to each head.
05 - For the face, press in two slices of almond for ears, two peppercorns or pieces of olive for eyes, and one carrot piece for the nose.
06 - Arrange breading station: Place flour, beaten eggs, and panko in separate shallow bowls.
07 - Carefully dredge each bunny croquette in flour, dip in egg, then coat thoroughly with panko breadcrumbs.
08 - Heat vegetable oil in a deep pan or fryer to 340°F. Fry croquettes in batches, 2 to 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 securely in place.