Preheat your oven to 400°F and lightly grease a small baking dish.
Season the turkey cutlets evenly on both sides with sea salt, black pepper, garlic powder, dried thyme, and dried rosemary.
Heat the olive oil in a large oven-safe skillet over medium-high heat and sear the cutlets for 2 minutes per side until a golden crust forms.
Transfer the skillet to the oven (or move cutlets to the prepared baking dish) and bake for 8 to 10 minutes until the internal temperature reaches 165°F.
While the turkey bakes, whisk the arrowroot powder into the cold chicken broth until fully dissolved.
Remove the turkey from the skillet and set aside; pour the broth mixture into the hot skillet over medium heat, whisking constantly until it thickens into a smooth gravy.
Steam the broccoli florets in a steamer basket for 5 minutes until tender-crisp and vibrant green.
Plate the turkey cutlets, drizzle generously with the herb gravy, and serve alongside the steamed broccoli.