Season the chicken breast evenly with half of the sea salt and black pepper.
Heat a non-stick skillet over medium-high heat and sear the chicken for 6-7 minutes per side until golden brown and cooked through.
While the chicken is cooking, finely shred the green cabbage and grate the carrots into a large mixing bowl.
Finely mince the garlic clove and grate the fresh ginger root.
In a small glass jar or bowl, whisk together the rice vinegar, lime juice, honey, minced garlic, grated ginger, and toasted sesame oil.
Thinly slice the green onions and roughly chop the fresh cilantro, then add them to the cabbage and carrot mixture.
Pour the ginger-lime dressing over the vegetables and toss thoroughly to ensure everything is well-coated.
Slice the cooked chicken into thin strips and serve immediately over the chilled, crisp slaw.