Preheat the oven to 375°F (190°C). Line a baking sheet with foil and lightly coat with nonstick cooking spray.
In a mixing bowl, combine the cooked diced chicken, 1/2 cup Mexican blend cheese, enchilada sauce, softened cream cheese, and enchilada or taco seasoning until smooth and well blended.
Unroll the jumbo crescent rolls on the prepared baking sheet. Place about a heaping tablespoon of the chicken mixture in the center of each crescent.
Pull the outer corners of each crescent over the filling, then fold the long end over to fully enclose the filling and form a sealed puff.
Sprinkle the tops of the puffs with the remaining 1/4 cup Mexican shredded cheese.
Bake for 15 minutes or until the puffs are golden brown. Allow to cool a few minutes before serving.