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.
Start cooking the noodles in the boiling water once adding the sauce to the turkey. Cook for 4 minutes before reserving about 1 cup of the cooking water. Drain the rest of the water and 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.