  Perturbative expansions for short-distance quantities in QCD are factorially
divergent and this deficiency can be turned into a useful tool to investigate
nonperturbative corrections. In this work, we use this approach to study the
structure of power corrections to parton quasi-distributions and
pseudo-distributions which appear in lattice calculations of parton
distribution functions. As the main result, we predict the functional
dependence of the leading power corrections to quasi(pseudo)-distributions on
the Bjorken $x$ variable. We also show that these corrections can be strongly
affected by the normalization procedure.
