This letter presents a device-to-device (D2D) enabling cellular full-duplex (FD) cooperative protocol using non-orthogonal multiple access (NOMA), where an FD relay assists in relaying NOMA far user's signal and transmits a D2D receiver's signal simultaneously. The ergodic capacity, outage probability, and diversity order of the proposed protocol are theoretically investigated under the realistic assumption of imperfect self and known interference cancellation. The Outcome of the investigation demonstrates the performance gain of the suggested protocol over conventional FD cooperative NOMA system.