In this paper we study nuclear effects in the neutrino production of pions. We found that in a Bjorken kinematics, for moderate x(B) accessible in ongoing and forthcoming neutrino experiments, the cross section is dominated by the incoherent contribution; the coherent contribution becomes visible only for small |t| less than or similar to 1/R-2 A, which requires x(B) less than or similar to 0.1. Our results could be relevant to the kinematics of the ongoing MINERvA experiment in the middle- energy regime. We provide a code which could be used for the evaluation of the neutrino induced deeply virtual meson production observables using different parametrizations of generalized parton distributions and different models of nuclear structure.