Drizzle the asparagus with oil and season with salt and pepper, garlic powder and dried oregano. Toss to combine. Cut the pastry into 6 equal squares. Turn each square and make it look like a diamond.
Spread cream cheese onto the center of each diamond. Place a slice of cheese on top. Place 3-4 asparagus stalks vertically in the middle. Fold pastry over the asparagus.