In a bowl, combine diced raw salmon with cream cheese and the chopped scallions. Mix well and set aside.
Lay a 4-inch square nori sheet on a clean and dry surface. Place the rectangular nori sheets to create a cross shape, leaving enough space on the edges to wrap into a sandwich. Evenly spread half of cooked sushi rice over the surface of the square nori sheet.
Spread the salmon cream cheese mixture over the rice, then cover with another layer of rice. Fold the edges of the square nori sheet to create a sandwich shape, enclosing the fillings in the center.
Coat the nori sandwich first with flour, shaking off any excess. Dip it into the beaten egg to coat evenly. Roll it in panko breadcrumbs, pressing gently to adhere.
Heat oil in a pan for frying. Carefully place the coated nori sandwich into the hot oil. Fry until the panko breadcrumbs turn golden and crispy, which should take only a couple of minutes.
Once fried, carefully remove the sandwich from the oil and place it on a paper towel to drain any excess oil. Cyt the crispy salmon cream cheese nori sandwich into halves, serve with soy sauce and enjoy!