Pat the sirloin steak strips dry with paper towels and season with salt, black pepper, and dried Italian seasoning.
Heat 1 tablespoon of olive oil in a large skillet over medium-high heat.
Add the steak strips in a single layer and cook for 2-3 minutes on each side until browned but still medium-rare. Remove the steak from the skillet and set aside.
In the same skillet, add the remaining 1 tablespoon of olive oil and broccoli florets. Sauté for 4-5 minutes until the broccoli is bright green and slightly tender.
Add the minced garlic to the skillet and cook for 1 minute until fragrant.
Reduce the heat to medium and add the butter, lemon zest, lemon juice, and beef broth. Stir to combine and let the sauce simmer for 2 minutes.
Return the cooked steak strips to the skillet and toss everything together to coat in the lemon garlic butter sauce. Cook for an additional 1-2 minutes until heated through.
Remove from heat and sprinkle with chopped fresh parsley before serving.