Preheat the oven to 400 degrees F.
Line a large heavy baking sheet with parchment paper. Stack the phyllo sheets on a work surface and roll up into a cylinder. Cut the rolled stacked phyllo sheets crosswise into 1/2-inch-wide sections. Unroll the phyllo sections and toss in a large bowl to separate the strips. Gradually drizzle the butter over the phyllo, tossing constantly to coat. (The phyllo strips might break up into smaller pieces.) Sprinkle the Parmesan over the phyllo and toss gently to coat. Arrange the phyllo mixture evenly over the prepared baking sheet. Bake until the mixture is crisp and golden, about 10 minutes.
Cool the phyllo mixture, and then coarsely break it apart into desired pieces.