  In this paper we study the diffractive $Z$ boson pair production mediated by
the Kaluza-Klein graviton in the large extra dimensions scenario at the CERN
Large Hadron Collider energies. Considering the Durham model we estimate the
total cross section for the central inclusive and exclusive diffractive
production of a $Z$ boson pair in $pp/pPb/PbPb$ collisions. Our results
indicate that the experimental analysis of the central inclusive production in
$pp$ collisions is feasible at CERN LHC.
