Heat the vegetable oil in a large skillet over medium-high heat. Add the sliced chicken thighs and cook for 5 to 6 minutes, stirring occasionally, until the pieces are browned and cooked through.
Add the minced garlic and red pepper flakes to the skillet. Stir for 30 seconds until the garlic becomes fragrant.
Add the sliced bell pepper, broccoli florets, and carrot slices. Stir-fry for 3 to 4 minutes until the vegetables start to soften but still retain some crunch.
Pour in the soy sauce, fish sauce, and oyster sauce. Stir everything together and cook for another 2 minutes so the sauce coats the chicken and vegetables evenly.
Remove the skillet from the heat and stir in the fresh Thai basil leaves until they just wilt.
Spoon the chicken and vegetables over cooked jasmine rice and serve right away.