In this paper, we study some relevant cosmological features of a Dark Energy (DE) model with Granda-Oliveiros cut-off, which is just a specific case of Nojiri-Odintsov holographic DE (ref [1]) unifying phantom inflation with late-time acceleration, in the framework of Chameleon Brans-Dicke (BD) Cosmology. Choosing a particular ansatz for some of the quantities involved, we derive the expressions of some important cosmological quantities, like the Equation of State (EoS) parameter of DE w D , the effective EoS parameter w ef f , the pressure of DE p D and the deceleration parameter q. Moreover, we study the behavior of statefinder parameters r and s, of the cosmographic parameters j, s cosmo , l and m and of the squared speed of the sound v 2s for both case corresponding to non interacting and interacting Dark Sectors. We also plot the quantities we have derived and we calculate their values for t → 0 (i.e. for the beginning of the Universe history), for t → ∞ (i.e. for far future) and for the present time, indicated with t 0 . The EoS parameters have been tested against various observational values available in the literature.