In a large skillet over medium heat, heat the olive oil. Add the broccoli florets and sauté for 5 minutes, stirring occasionally (the broccoli will lightly brown in parts). Stir in the green onion, Italian seasoning, garlic powder, and kosher salt.
Cover and cook for 2 to 3 minutes more, until crisp tender but still bright green. Taste and add a few pinches of salt if needed (make the flavor pop!) and fresh ground pepper. Remove the broccoli to a bowl and serve immediately. Sprinkle with the lemon zest, if using.