Preheat oven to 375 degrees F. Line a baking sheet with a silicone mat, nonstick foil or parchment paper.
In a medium mixing bowl, combine shredded chicken, green onion, dried cranberries, mozzarella cheese, and mayonnaise.
Open one can of crescent rolls and spread the dough out on a cutting board. Separate into 4 rectangles (2 triangles attached to each other) and press the seams of each rectangle together in the middle to seal. Repeat with the second can. You should have 8 rectangles of dough.
Scoop 1/4 cup of the chicken mixture into the center of each rectangle. Fold up the corners of the rectangle to cover the chicken mixture, pressing together to seal completely. Arrange seam-side down, spaced apart, onto a cookie sheet.
Bake at 375 degrees F for 12 minutes, until top is golden brown. Let cool 5 minutes before serving.
Nutritional information is approximate and can vary based on ingredients used. For appetizers, plan 1 puff per person. For dinner, plan 2 puffs.