Preheat oven to 375°F
Thaw puff pastry for 30 minutes or according to directions on box.
Drain apricots and slice each half into thirds; set aside. Or, drain peach slices; set aside.
When pastry is thawed, put each sheet on a lightly floured surface and roll out to extend each side by approximately 1/2 inch. Cut each sheet into eight rectangles to make 16 total.
Fill bottom portion of each rectangle with 4-5 pieces of fruit; moisten sides with a bit of water and pinch closed to form a square. Place pocket on a baking sheet and sprinkle generously with sugar. Cut 3 slits in the top of each for the steam to escape while baking.
Bake at 375°F for 25 minutes or until the pockets are golden brown.