Heat olive oil in a large Dutch oven or heavy-bottomed pot over medium-high heat. Season chicken pieces generously with salt and pepper, then sear until golden brown on both sides, about 6-8 minutes total. Transfer chicken to a clean plate and set aside.

Add diced onion to the hot pot and sauté until softened and translucent, approximately 3 minutes. Stir in minced garlic and cook for another 30 seconds until fragrant, being careful not to burn the delicate cloves.

Add sliced carrots and chopped celery to the pot, stirring frequently for 2-3 minutes. These vegetables begin releasing their natural sweetness and aromatic compounds that create the soup's flavorful foundation.

Pour in chicken broth and add the bay leaf, dried thyme, and dried oregano to the pot. Return the seared chicken pieces to the liquid and bring everything to a gentle boil for 2 minutes. This chicken and rice soup recipe begins developing its signature depth.

Stir in the long grain white rice and reduce heat to medium, maintaining a gentle simmer for about 15-18 minutes. The rice absorbs the broth while the chicken finishes cooking completely and becomes incredibly tender.

Remove from heat and stir in the heavy cream slowly, folding gently to combine. Taste and adjust seasonings with additional salt and pepper as needed for your preference.

Ladle into bowls and top each serving with fresh chopped parsley. Serve immediately while steaming hot for maximum comfort and satisfaction.