Preheat oven to 375°. Line a baking sheet with parchment paper.
In a medium skillet, heat oil over medium heat. Add ham, broccoli, and green onion; cook, stirring constantly, until broccoli turns bright green. Remove from heat; stir in pimientos.
On a lightly floured surface, roll out half of dough, and cut into 4 equal portions. Spoon ham mixture onto center of each portion. Sprinkle with cheese.
In a small bowl, whisk together egg and 1 tablespoon water. Brush egg wash onto edges of dough. On a lightly floured surface, roll out remaining dough, and cut into 4 equal portions. Place dough over filling, pressing edges with a fork to seal. Brush tops with egg wash, and sprinkle with Italian seasoning.
Bake until golden brown, about 15 minutes. Immediately remove from pan. Serve warm with Easy Pizza Sauce.
Recipe by Paula Deen Magazine at https://www.pauladeenmagazine.com/ham-and-broccoli-pizza-pockets-recipe/