  The well-posedness is established for McKean-Vlasov SDEs driven by
$\alpha$-stable noises ($1<\alpha<2$). In this model, the drift is H\"{o}lder
continuous in space variable and Lipschitz continuous in distribution variable
with respect to the sum of Wasserstein and weighted variation distances, while
the noise coefficient satisfies the Lipschitz condition in distribution
variable with respect to the sum of two Wasserstein distances. The main tool
relies on Zvonkin's transform, a time-change technique and a two-step fixed
point argument.
