Follow the steps in order for the best result.
Begin by melting the butter in a medium-sized saucepan over medium heat.
Add the minced shallots to the melted butter and sauté until they become soft and translucent, approximately 3 minutes.
Incorporate the flour, Italian seasoning, salt, and pepper into the saucepan. Stir continuously to ensure the ingredients are well combined.
Continue cooking over medium heat, stirring constantly, for about 1 minute to allow the flour to cook slightly.
Gradually pour in the half-and-half and lemon juice, stirring continuously to prevent any lumps from forming.
Keep cooking and stirring the mixture until it thickens and becomes smooth.
Add the cooked and drained broccoli florets to the sauce. Stir gently to coat the broccoli evenly with the creamy sauce.
Serve immediately as a delicious side dish. It pairs exceptionally well with Chicken Kiev or any other main course of your choice.