Small Business Employee Ownership Promotion Enhancement Act of 2018 This bill amends the Small Business Act to require the Service Corps of Retired Executives (SCORE) to appoint a SCORE Employee Ownership Director, whose duties shall relate to the various forms of employee ownership. The director shall be responsible for: administering and disbursing materials that contain general information and technical assistance for the establishment of employee ownership structures; coordinating efforts for employee ownership with SCORE chapters located throughout the United States; providing technical assistance relating to a range of business forms and strategies that promote or facilitate employee ownership, including an employee stock ownership plan, a cooperative, and any other approach determined appropriate by the director; and providing the Small Business Administration and the Office of Entrepreneurial Development with statistics, including regional statistics from a SCORE chapter relating to services provided to small businesses potentially undertaking a form of employee ownership. The director may be a SCORE employee on the date of appointment.