Season the chicken breast evenly on both sides with sea salt and black pepper.
Heat the avocado oil in a medium skillet over medium-high heat until shimmering.
Place the chicken in the skillet and sear for 6 to 7 minutes per side until the exterior is golden brown and the internal temperature reaches 165 degrees Fahrenheit.
While the chicken cooks, whisk together the toasted sesame oil, coconut aminos, rice vinegar, grated fresh ginger, and minced garlic in a small bowl.
In a large serving bowl, toss the mixed greens with shredded carrots, sliced cucumber, and red bell pepper.
Remove the chicken from the skillet, let it rest for 3 minutes, then slice it into thin strips.
Arrange the sliced chicken over the salad base, drizzle with the prepared sesame-ginger dressing, and top with sesame seeds and sliced almonds.