Heat a nonstick pan over medium heat. Once hot, add the oil, chicken, garam masala, curry, turmeric, and season with salt and pepper. Saute to brown the outside then add the onion, garlic, and ginger. Saute until fragrant. Add in the squash and saute until browned.
Stir in the broth. Bring to a simmer; let the broth reduce and concentrate in flavor. Then add in the coconut milk and butter. Add in the peas and continue to simmer until the liquid thickens to a creamy consistency.
Warm the naan on both sides in a nonstick pan on medium heat.
Adjust the seasoning with salt if needed serve with the naan and garnish with cilantro.