  We show the local in time well-posedness of the Prandtl equation for data
with Gevrey $2$ regularity in $x$ and $H^1$ regularity in $y$. The main novelty
of our result is that we do not make any assumption on the structure of the
initial data: no monotonicity or hypothesis on the critical points. Moreover,
our general result is optimal in terms of regularity, in view of the
ill-posedness result of [9].
