Set cinnamon roll icing aside. Separate dough into individual rolls; roll out each into a 4-inch circle.
Arrange on a greased 12-inch pizza pan, overlapping edges. Bake at 400 degrees for 8 minutes.
Spoon apple pie filling over rolls to within ½-inch of edge. Combine brown sugar and butter; sprinkle over filling. Bake 6–8 minutes longer or until crust is golden brown. Cool. Drizzle with icing.