Season the chicken breast evenly with sea salt and black pepper.
Heat avocado oil in a grill pan or cast-iron skillet over medium-high heat.
Grill the chicken for 5-7 minutes per side until the internal temperature reaches 165 degrees Fahrenheit.
While the chicken cooks, whisk together the toasted sesame oil, coconut aminos, rice vinegar, and grated ginger in a small bowl until well combined.
In a large mixing bowl, combine the shredded cabbage, shelled edamame, sliced cucumber, and shredded carrots.
Remove the chicken from the heat, let it rest for 3 minutes, then slice it into thin strips.
Add the chicken to the salad bowl and drizzle with the sesame-ginger dressing.
Toss everything together until the vegetables are thoroughly coated.
Garnish with toasted sesame seeds and serve immediately.