Heat a large skillet or wok over medium-high heat with avocado and toasted sesame oil. When hot, add the ground turkey, salt, and pepper and cook, breaking up the meat with a spoon, until cooked through (no longer pink), 5 to 7 minutes. When cooked through, set heat on low and keep warm while you prepare the green beans.
Meanwhile, bring a large skillet of water to a boil. Once boiling, add the green beans and cook until crisp-tender, about 3 minutes. Transfer the par-cooked green beans to a bowl of ice water to shock the green beans and lock in the green color.
Increase the heat in the wok back up to medium-high heat. Drain and transfer the green beans to the wok and toss to combine.
Add the sriracha, coconut aminos, and basil leaves and cook 2 more minutes.
Serve over prepared rice, cauliflower rice, or alone!