  For complex multiple Wiener-It\^{o} integral, we present Berry-Ess\'een upper
and lower bounds in terms of moments and kernel contractions under the
Wasserstein distance. As a corollary, we simplify the previously known
contraction condition of the complex Fourth Moment Theorem. Additionally, as an
application, we explore the optimal Berry-Ess\'een bound for a statistic
associated with the complex-valued Ornstein-Uhlenbeck process.
