  For lattice formulations of the two-dimensional $\mathcal{N}=(2,2)$
Wess--Zumino (2D $\mathcal{N}=(2,2)$ WZ) model on the basis of the Nicolai map,
we show that supersymmetry (SUSY) and other symmetries are restored in the
continuum limit without fine tuning, to all orders in perturbation theory. This
provides a theoretical basis for use of these lattice formulations for
computation of correlation functions.
