Sauté veggies: Heat 1 tablespoon of butter in a large skillet over medium-high heat. Add carrots, onion, peas, garlic, and ginger, then season with salt and pepper. Sauté for 3–4 minutes until soft.
Cook eggs: Push the veggies to one side of the skillet (or remove them if needed). Add 1 tablespoon of butter to the empty side, let it melt, then scramble the eggs until fluffy. Mix the eggs with the veggies.
Fry rice: Add the last 1 tablespoon of butter to the skillet and melt. Stir in chilled rice, cooked chicken, fish sauce, sesame oil, sriracha, and chilis (optional). Cook for 3 minutes, stirring constantly.
Finish & serve: Remove from heat, stir in green onions, and serve warm.