In a medium sized bowl, mix together cream cheese, broccoli, cheddar, chicken and ¼ teaspoon garlic salt.
On a large baking sheet, add a piece of puff pastry, followed by half of the cheesy broccoli chicken mixture onto one side - making sure to leave ¼ in of the pastry around the edges to seal it shut. Fold the other side over and seal with a fork. Repeat for the other piece of crescent dough.
Center the hot pockets equal distance apart in the middle of the baking sheet.
Brush the egg white over the top of each one and sprinkle with remaining garlic salt and parmesan cheese.
Bake for 20 minutes or until the pastries are golden brown.
Remove from the oven and let rest for 5-10 minutes to cool.