Classic Chicken Pot Pie Pasta

Ingredients

• 2 tablespoons olive oil
• 1 pound boneless, skinless chicken breasts, cut into bite-sized pieces
• Salt and black pepper, to taste
• 1 medium onion, diced
• 2 cloves garlic, minced
• 2 cups sliced carrots
• 1 cup frozen peas
• 1/2 cup chopped celery
• 1/4 cup all-purpose flour
• 2 cups chicken broth
• 1 cup milk
• 1 tablespoon fresh thyme (or 1 teaspoon dried thyme)
• 1 teaspoon dried rosemary
• 1 teaspoon poultry seasoning
• 10 oz pasta (such as penne or rotini)
• 1 cup grated Parmesan cheese
• 2 tablespoons chopped fresh parsley, for garnish