Cook sushi rice as directed on package, using 2 1/3 cups water. Fluff with fork then stir in 2 teaspoons of the rice vinegar and 1 teaspoon of the sugar. Set aside to cool slightly while preparing filling.
To form the rice balls, scoop about 1/3 cup warm rice into palm of hand and make a deep indentation in rice. Place about 2 tablespoons chicken filling in indentation. Using hands, gently shape rice around filling, forming into a cake (about 3-inches wide and 3/4-inch thick) or a ball, adding additional rice if necessary to enclose filling. Repeat with remaining rice and chicken filling.
Heat remaining oil in same skillet on medium-high heat. Cook rice balls in batches about 3 to 4 minutes per side or until golden and crispy.
To serve, sprinkle rice balls with Furikake Seasoning. Strain kimchee, reserving 1/2 cup of the vinegar mixture. Serve rice balls with Quick Kimchee and reserved vinegar mixture for dipping.
