In a medium bowl, combine the diced chicken, coconut milk, lime juice, lime zest, minced garlic, cumin, chili powder, salt, and pepper. Mix well to ensure the chicken is fully coated in the marinade.
Cover the bowl and let the chicken marinate in the refrigerator for at least 30 minutes (up to 2 hours for more flavor).
Heat a large skillet over medium heat and add the marinated chicken along with the marinade. Cook for about 7-10 minutes, stirring occasionally, until the chicken is fully cooked and the sauce has thickened.
While the chicken is cooking, warm the corn tortillas in a separate skillet until pliable.
To assemble the tacos, place a few pieces of the coconut lime chicken on each tortilla, followed by a generous handful of shredded red cabbage and slices of avocado.
Top with fresh cilantro for an added burst of flavor. Serve immediately with extra lime wedges on the side if desired.
Notes
For extra flavor, marinate the chicken for up to 2 hours.