  We present a simple lattice formulation of two-dimensional
$\mathcal{N}=(2,2)$ $U(k)$ supersymmetric QCD (SQCD) with $N$ matter multiplets
in the fundamental representation. The construction uses compact gauge link
variables and exactly preserves one linear combination of supercharges on the
two-dimensional regular lattice. Artificial saddle points in the weak coupling
limit and the species doubling are evaded without imposing the admissibility. A
perturbative power-counting argument indicates that the target supersymmetric
theory is realized in the continuum limit without any fine tuning.
