In a large skillet, heat the olive oil over medium heat. Add the diced chicken and season with salt and pepper. Cook until lightly browned (about 5-7 minutes).
Add the diced onions, carrots, and celery. Sauté for another 5 minutes, or until the vegetables start to soften.
Stir in the minced garlic, dried thyme, and dried rosemary, cooking for an additional minute until fragrant.
Sprinkle the flour over the chicken and vegetables, stirring well to coat everything. Cook for 2 minutes, allowing the flour to brown slightly.
Gradually pour in the chicken broth while stirring to combine. Bring the mixture to a simmer and cook until thickened (about 5-10 minutes).
Stir in the frozen peas and lemon juice, then remove from heat and mix in the milk and grated cheddar cheese until well combined.
Pour the chicken mixture into a large baking dish (about 2-quart capacity).
Open the biscuit dough and break it into individual pieces. Arrange the biscuit pieces evenly over the top of the chicken filling.
Bake in the preheated oven for 20-25 minutes or until the biscuits are golden brown and the filling is bubbly.
Remove from the oven and let cool for a few minutes before serving.
Notes
Serve warm directly from the baking dish with fresh parsley sprinkled on top.