In a small bowl, whisk together the tamari, honey, toasted sesame oil, grated fresh ginger, and minced garlic to create the teriyaki glaze.
Pat the salmon fillet dry with a paper towel and season both sides with sea salt and black pepper.
Heat the avocado oil in a large non-stick skillet over medium-high heat until the oil is shimmering.
Carefully place the salmon fillet in the skillet, skin-side up, and sear for 4 minutes until a golden-brown crust has formed.
Flip the salmon fillet over and add the trimmed green beans to the empty spaces in the skillet.
Pour the prepared teriyaki glaze directly over the salmon and toss the green beans in the sauce to coat them evenly.
Reduce the heat to medium, cover the skillet with a lid, and cook for an additional 3 to 4 minutes until the salmon is flaky and the green beans are crisp-tender.
Transfer the salmon and green beans to a plate, drizzle with any remaining glaze from the pan, and garnish with sesame seeds before serving.