  Let $\mathbb{C}_K$ be a complete and algebraic closed non-archimedean field
with residual characteristic $2$. In this paper we prove that there exist
$a,b\in\mathbb{C}_K$ such that the rational function
$R(z)=\frac{z^2-z}{bz-\frac{1}{a}}$ has wandering components in its Fatou set.
