Cut peel of each orange in sixths; loosen from pulp with spoon. Remove most of the white membrane from peel. Add salt and peel to 4 cups water. Weigh with a plate to keep peel under water. Let stand overnight.
Drain and wash thoroughly. Cover with cold water and heat until boiling. Drain. Repeat 3 times. This helps remove the bitter taste.
With shears, cut peels into strips. In saucepan, combine peel (about 2 cups), sugar and 1/2 cup water. Heat and stir until sugar dissolves. Cook slowly until peel is translucent. Drain. Roll in granulated sugar. Dry on rack. Makes 2 to 2 1/2 cups.