Preheat the oven to 350°F. Lightly coat two 24-cup mini muffin pans with non-stick spray.
In a large mixing bowl, combine flour, sugar, baking powder, pumpkin pie spice, and salt.
In another bowl, mix melted butter, vanilla extract, and egg. Combine wet ingredients with dry mixture, stirring until crumbly, then fold in the pumpkin.
Spoon a generous tablespoon of batter into each muffin cup and bake for approximately 15 minutes.
Allow fritters to cool slightly before transferring to a parchment-lined baking sheet. Broil for 3-5 minutes after dipping in glaze.