  Recently, a direct signature of chaos in many body system has been realized
from the energy density retarded Green's function using the phenomenon of `pole
skipping'. Moreover, special locations in the complex frequency and momentum
plane are found, known as the pole skipping points such that the retarded
Green's function can not be defined uniquely there. In this paper, we compute
the correction/shift to the pole skipping points due to a spatial anisotropy in
a holographic system by performing near horizon analysis of EOMs involving
different bulk field perturbations, namely the scalar, the axion and the metric
field. For vector and scalar modes of metric perturbations we construct the
gauge invariant variable in order to obtain the master equation. Two separate
cases for every bulk field EOMs is considered with the fluctuation propagating
parallel and perpendicular to the direction of anisotropy. We compute the
dispersion relation for momentum diffusion along the transverse direction in
the shear channel and show that it passes through the first three successive
pole skipping points. The pole skipping phenomenon in the sound channel is
found to occur in the upper half plane such that the parameters Lyapunov
exponent $\lambda_{L}$ and the butterfly velocity $v_{B}$ are explicitly
obtained thus establishing the connection with many body chaos.
