Soak eggplant in salt water for 10 minutes to remove bitterness, then drain and pat dry.
Heat half the coconut milk in a large pan over medium heat until it begins to simmer.
Add red curry paste to the heated coconut milk and stir continuously for 2-3 minutes until fragrant.
Add sliced chicken and cook for 5-7 minutes until chicken begins to turn white.
Pour in remaining coconut milk and bring to a gentle simmer.
Add eggplant, red chili, and kaffir lime leaves to the pan.
Season with palm sugar and fish sauce, stirring to combine.
Simmer for 10-15 minutes until eggplant is tender and chicken is fully cooked.
Taste and adjust seasoning as needed.
Serve immediately with steamed jasmine rice.