01 - Preheat oven to 400°F and line a baking tray with parchment paper.
02 - In a bowl, blend together cream cheese, granulated sugar, vanilla extract, and lemon zest until smooth and creamy. Set aside.
03 - In another bowl, mix diced strawberries with granulated sugar, lemon juice, and cornstarch until evenly coated. Set aside.
04 - Roll out puff pastry and cut into 8 equal squares. Lightly score a border about 1/2 inch inside each edge without cutting all the way through.
05 - Spread 1 tablespoon of cream cheese filling in the center of each square, staying within the scored border.
06 - Spoon 1 tablespoon of strawberry mixture over the cream cheese layer in each square.
07 - Brush the pastry borders gently with beaten egg mixed with milk.
08 - Transfer to oven and bake for 18–22 minutes, until pastry is puffed and golden brown.
09 - Remove from oven and cool slightly on a wire rack.
10 - Whisk powdered sugar, milk, and vanilla extract until smooth. Drizzle over cooled pastries if desired.