Preheat the oven to 375°F. Line a large baking sheet with parchment paper.
Place the softened cream cheese in a medium bowl and stir until smooth.
Add the chicken, cheddar, peas and carrots, chicken broth, garlic powder, onion powder, thyme, salt, and black pepper.
Stir until evenly combined. The filling should be creamy but thick enough to hold its shape.
Separate the refrigerated biscuits. Flatten each biscuit into an approximately 5-inch circle.
Place approximately ⅓ cup of chicken filling in the center of each dough circle.
Bring the edges of the dough over the filling and pinch them firmly together.
Place each stuffed biscuit seam-side down on the prepared baking sheet, leaving approximately 2 inches between them.
Combine the melted butter and garlic powder. Brush the mixture lightly over the biscuits.
Bake for 15–19 minutes, or until the tops and bottoms are golden and the biscuit dough is completely cooked.
Rest for 5 minutes. Garnish with chopped parsley and serve warm.