Pat the salmon fillet dry with a paper towel and season both sides with the sea salt and black pepper.
In a small mixing bowl, whisk together the tamari, honey, grated fresh ginger, and minced garlic to create the teriyaki glaze.
Heat the sesame oil in a large non-stick skillet over medium-high heat until it begins to shimmer.
Place the salmon in the skillet, flesh-side down, and sear for 4 minutes until a deep golden-brown crust forms.
Carefully flip the salmon over and add the trimmed green beans to the empty spaces in the skillet.
Pour the prepared teriyaki glaze over the salmon and green beans, allowing the liquid to bubble and reduce.
Cook for an additional 3 to 4 minutes, tossing the green beans frequently in the sauce, until the glaze is thick and the salmon is cooked through.
Transfer the salmon and beans to a plate, drizzling any remaining pan sauce over the top, and garnish with sesame seeds.