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Preheat oven to 375 F.
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Line a baking sheet with parchment paper. Very lightly grease the parchment paper with olive oil, use a pastry brush to cover completely. Set aside.
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In a mixing bowl, combine the shredded cheddar cheese, finely chopped broccoli, finely chopped onion, garlic powder and onion powder. Season with salt and pepper. Mix well.
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Take the defrosted puff pastry and very gently roll with a rolling pin on a lightly floured surface. Flatten slightly and smooth out then cut into 9 equal size pieces with a pizza cutter.
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Place the filling mixture in 9 piles (3 rows of 3) on the lightly greased baking sheet lined with parchment paper.
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Place each square of puff pastry over the filling portions on the baking sheet.
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With a fork, gently score and press down the edges of all four sides of each puff pastry square.
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Whisk the egg with water. Lightly brush the top of each puff pastry square with the egg wash.
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Bake for 15 to 20 minutes, or until the top of the puff pastry is just golden brown and crispy.
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Let them sit for a few minutes to cool, then use a spatula to lift them off the baking sheet. Serve hot.