Recent advancements in Full Duplex (FD) wireless system opens up many research opportunities in the Medium Access Control (MAC) layer. In this paper, we propose Cooperative Cognitive Distributed MAC (CCD-MAC) protocol in which the FD Secondary User (SU) will help Primary User (PU) by relaying PU's packet when the primary link quality is bad. We consider two-state primary link quality model with fixed Average Non-Fade Duration for 'Good' state followed by exponentially distributed fading duration for 'Bad' state. When the PU is idle, SUs use p-persistent CSMA protocol for channel access. An analytical model has been developed for the proposed protocol. Using our model, throughput of secondary network and the delay experienced by PU's packet are calculated. The validity of the analytical work is supported with simulation results. © 2013 Springer International Publishing.