Land Management Workforce Flexibility Act - Makes an employee of a land management agency who served under a time-limited appointment in the competitive service eligible to compete for a permanent appointment in the agency if the original appointment was competitive, totaled a period of at least 24 months, and the employee's performance was at an acceptable level. Requires such an employee's appointment to a full-time position, if such a position is offered and the employee agrees to such employment, if the original position stated that there was the potential for the position to become permanent.