Heat vegetable oil in a large skillet or wok over medium heat.
Add the red curry paste and cook for 1-2 minutes until fragrant.
Stir in the coconut milk and bring to a simmer.
Add the chicken pieces and cook until they are no longer pink.
Add the vegetables (bell pepper, onion, zucchini, broccoli) and stir to combine.
Season with fish sauce and brown sugar. Adjust seasoning to taste.
Simmer for 10-15 minutes until the vegetables are cooked and the sauce has thickened slightly.
Serve the Thai Red Chicken Curry hot over cooked jasmine rice.
Garnish with fresh basil leaves before serving.
Enjoy!