Preheat oven to 375 degrees.
Coat chicken breasts with soy sauce. Let them rest while you prep the rest of the recipe.
Peel the ginger root and cut into 6 one inch pieces. Julienne each piece into very fine lengths.
Mix rice wine, oyster sauce, sugar, salt and pepper together in a cup.
Heat oil in a sauce pan or wok. Add mushrooms and rice wine mixture. Saute until liquid has evaporated substantially - about 10 minutes. Add the green onions and cook another minute.
Brush one half of the square of parchment paper with sesame oil, leaving an edge of a couple of inches. Position the chicken breast on the far edge of the oiled area.
Top with ⅙ of the mushroom mixture and ⅙ of the ginger. Wrap the paper around the chicken breast on the long side of the breast. It should make one full round plus half a second round, so the edge ends up on the underside of the breast. Carefully crease the 2 ends of the paper closed and tuck under the breast. Be sure the wrapped chicken has no openings or it will not cook properly.
Repeat with the remaining breasts.
Place packets on a sheet pan. Do not crowd the packets. Bake at 375 degrees about 30 minutes.
When chicken is done, transfer breasts and toppings to a serving platter. (See Note 1)