Bring a pot of water to a boil for the noodles.
Heat the olive oil in a nonstick pan over medium-high heat. Add the broccoli and cook for 5-6 minutes, stirring occasionally, until nicely browned in spots. Transfer to a bowl and set aside.
Add the turkey and brown one side for 2-3 minutes before breaking apart and fully cooking. Add the teriyaki sauce to the cooked turkey, stir together, and cook another 1-2 minutes until the sauce begins to caramelize on the bottom.
Add the noodles to the boiling water once you add the sauce to the turkey in step 3. Cook the noodles for 4 minutes.
Reserve about 1 cup of the cooking liquid from the noodles before draining the rest. Add the noodles back to the pot along with the sauce packets.
Add the broccoli and turkey to the noodles. Use the reserved water as needed to bring everything together. (I used about ½ cup.)
Garnish with sliced green onion and toasted sesame seeds.