Preheat the oven to 400 degrees F (200 degrees C). Grease a rack and set it in a shallow baking pan.
In a large bowl, combine panko crumbs, Smokin' Ts, water chestnuts, carrot, cilantro, and egg. Add ground chicken; mix lightly but thoroughly.
Shape into 25 1-inch balls. Place on the prepared rack.
Bake in the preheated oven until cooked through, 20 to 25 minutes. An instant-read thermometer inserted into the center should read at least 160 degrees F (70 degrees C).