Soak bamboo skewers in water for at least 30 minutes.
Stir together coconut milk, parsley, curry powder and salt in a bowl. Set aside.
Slice chicken across the grain into 3 inch long strips about 1/4 to 3/4 inch thick. Thread strips accordion-style on skewers. Add skewers to marinade, turning to coat over chicken. Cover and chill for 1 hour.
Place chicken skewers on a baking sheet lined with foil and broil three to four inches from heat for 5 minutes. Turn and broil for 5 minutes. Keep turning every 5 minutes until chicken is cooked (use a meat thermometer to check). Mine usually take about 15 to 20 minutes in my oven.
Peanut Sauce
Combine coconut milk, curry paste, sugar, soy sauce and peanut butter in a small sauce pan on the stove. Bring to a boil stirring constantly. Reduce heat to low and stir for an additional 2 minutes. Remove from heat and stir again right before serving.