  In this work, we prove the existence of wave operator for the following
generalized derivative nonlinear Schr\"odinger equation \begin{align*}
i\partial_t u+\partial_x^2 u +i |u|^{2\sigma}\partial_x u=0, \end{align*} with
$(t,x)\in\mathbb{R}\times\mathbb{R}$, $\sigma\in \mathbb{N}$, and $\sigma\geq
3$. The study of wave operators is an important part of the scattering theory,
and it is useful in the construction of the nonlinear profile and the large
data scattering.
  The previous argument for small data scattering in \cite{BaiWuXue-JDE}, which
is based on the local smoothing effect and maximal function estimates, breaks
down when considering the final data problem. The main reason is that the
resolution space does not provide smallness near the infinite time. We overcome
this difficulty by invoking the gauge transformation and the normal form
method.
