If you have already listed your home with a real estate agent, then you will need to carefully review your listing agreement before you agree to sell your home privately. For example, an open listing and exclusive agency listing agreement give sellers a certain amount of leverage that can help you to sell your home to a private buyer without paying additional fees.
However, if you have an exclusive right to sell listing agreement, then you might still owe your real estate agent a commission even if you sell your home to a private buyer.