Cut the chicken into strips. Cook it in a very large skillet or wok with about half the olive oil until browned and cooked through, about 6-8 minutes. Remove and set aside.
Add the cabbage and frozen peppers and onions to the skillet.
Cook uncovered over medium-high to high heat for 7-10 minutes, stirring occasionally, until the cabbage softens while still keeping some texture and most of the liquid has cooked off -- this version should stay relatively dry rather than becoming saucy.
Add the cumin, chili powder, smoked paprika, garlic powder, and oregano. Cook for 30-60 seconds, stirring constantly.
Return the chicken to the skillet.
Add the lime juice, toss thoroughly, and serve.
Nutrition
Partial. 0 of 10 ingredients have a resolved food record, so these numbers are a floor, not a total.