  We establish the well-posedness for a class of McKean-Vlasov SDEs driven by
symmetric $\alpha$-stable L\'{e}vy process ($1/2<\alpha\leq1$), where the drift
coefficient is H\"{o}lder continuous in space variable, while the noise
coefficient is Lipscitz continuous in space variable, and both of them satisfy
the Lipschitz condition in distribution variable with respect to Wasserstein
distance. If the drift coefficient does not depend on distribution variable,
our methodology developed in this paper applies to the case $\alpha\in(0,1]$.
The main tool relies on heat kernel estimates for (distribution independent)
stable SDEs and Banach's fixed point theorem.
