Preheat oven to 375 degrees. Cut chicken into 1-inch pieces. Combine chicken, peppers, and onions in a large bowl. Drizzle oil over the top, then sprinkle seasonings over the top. Toss to combine.
Transfer everything to a sheet pan and spread out so that it is arranged in an even layer. Bake for 15-20 minutes until chicken is cooked through and veggies are tender. Drizzle with lime juice and sprinkle chopped cilantro over the top. Serve alone or over steamed rice.