Make chicken marinade: In a blender, add coconut milk, garlic cloves, ginger, lemongrass, dry spices, and brown sugar and blend until smooth.
Marinate chicken: Place the cubed chicken in a Ziploc bag and then pour in the marinade. Seal the bag and refrigerate for at least 30 minutes but no longer than overnight.
Cook chicken: In a large skillet or wok, heat cooking oil over medium heat. In batches, add marinated chicken in a single layer. Pan-fry the chicken for 7 to 10 minutes or until the chicken is cooked through. Transfer to a clean plate. Keep the cooked chicken covered as you work through the remaining.
Make peanut dressing: Add all peanut sauce ingredients to a blender and blend until smooth and creamy. Taste and adjust seasonings as needed.
Plate and serve: Once the chicken and peanut dressing are done, the last step is to simply build your bowl with a serving of rice or noodles, a spread of fresh sliced veggies, hot cooked chicken, and a side of peanut dressing. Enjoy!