Let $Γ(\mathbb{Z}_n[i])$ be the zero divisor graph over the ring $\mathbb{Z}_n[i]$. In this article, we study pancyclic properties of $Γ(\mathbb{Z}_n[i])$ and $\overline{Γ(\mathbb{Z}_n[i])}$ for different $n$. Also, we prove some results in which $L(Γ(\mathbb{Z}_n[i]))$ and $\overline{L(Γ(\mathbb{Z}_n[i]))}$ to be pancyclic for different values of $n$.