Set a 6 Qt Instant Pot to saute on high heat and add butter, oil, chopped onion, grated or julienned carrots, and 1 tsp salt. Sautee, stirring occasionally for 5 minutes or until soft and golden.
Add trimmed, chopped chicken, another 1 tsp salt and ¼ tsp pepper. Sautee, stirring occasionally for 5 minutes.
Add 4 cups chicken broth and 2 cups rice and stir to combine. Cut whole garlic head in half through the cloves and parallel to the base. Place garlic halves on top, cut-side down. Cover and cook on manual high pressure for 10 minutes then quick release remaining pressure.
Open the lid and stir in ½ cup parmesan with ⅓ cup chopped parsley. Serve with more cheese and garnish with parsley if desired.
