  Non-anticommutative Grassmann coordinates in four-dimensional twist-deformed
N=1 Euclidean superspace are decomposed into geometrical ones and quantum shift
operators. This decomposition leads to the mapping from the commutative to the
non-anticommutative supersymmetric field theory. We apply this mapping to the
Wess-Zumino model in commutative field theory and derive the corresponding
non-anticommutative Lagrangian. Based on the theory of twist deformations of
Hopf algebras, we comment the preservation of the (initial) N=1
super-Poincar\'e {\it algebra} and on the consequent super-Poincar\'e invariant
interpretation of the discussed model, but also provide a measure for the
violation of the super-Poincar\'e symmetry.
