Heat oven to 375°F. Lightly spray cookie sheet with nonstick cooking spray. In small bowl, mix all cheeses and mayonnaise until well blended and soft.
Separate dough into 2 long rectangles; press perforations to seal. Spread cheese mixture evenly over rectangles. Starting at short sides, roll up each; pinch edges to seal. Cut each roll into 8 slices. Place, cut side down, on cookie sheet. Sprinkle with parsley. Bake 12 to 15 minutes or until golden brown. Immediately remove from cookie sheet. Cool 3 minutes before serving.