Cut chicken breast into bite-sized cubes and set aside.
Using a medium to large skillet, pan fry the chicken until almost done, then remove and set aside.
Using medium heat, add 4 tablespoons of coconut milk to the same skillet and bring to a boil.
Add 2-3 tablespoons of panang curry paste and stir well.
Return the chicken to the skillet and stir until thoroughly cooked.
Add half of the remaining coconut milk while continuously stirring.
Add fish sauce and palm sugar, mixing well.
Pour in the rest of the coconut milk and continue cooking.
When the coconut milk begins to thicken, add basil leaves and lime leaves.
Taste and adjust seasoning with additional fish sauce or sugar as needed.