Preheat oven to 425°. Line cookie sheet with parchment paper.
Place pastry on tray. Combine oil, garlic, paprika and oregano in a small bowl. Brush oil mixture over pastry, leaving 1/2 inch border.
Bake 10 minutes. If the pastry pillows up, push it down with a spatula and create a well for the toppings. Top with chorizo, onion, tomatoes and cheese. Pour about 1/2 Tbsp of olive oil over ingredients. Bake 10 additional minutes or until pastry is crisp.
Top flatbread with olives and chives.
Slice into 12 pieces using a pizza cutter or serrated knife.
Notes
Make the appetizer a main course for two by adding a crisp green salad.