Heat oven to 375°F. Line large cookie sheet with foil or cooking parchment paper.
In 12-inch skillet, heat oil over medium heat. Cook chicken in oil 8 to 10 minutes, stirring occasionally, until no longer pink in center. Add broth, artichokes, basil and garlic powder. Cook 3 to 4 minutes, stirring frequently, until broth is absorbed. Remove from heat; stir in cheese.
Unroll dough on lightly floured work surface. Using 4-inch round cookie cutter, cut 6 rounds from each crust. (Reroll scraps and cut additional rounds, if desired.) Lightly brush rounds with egg.
Spoon 1 heaping tablespoon chicken mixture on half of each round. Fold other half over filling; press edges with fork to seal. Lightly brush tops with egg. Place on cookie sheet.
Bake 10 to 15 minutes or until golden brown. Serve warm.