It is known since Stanley that parking functions and noncrossing partitions are closely related. In particular, noncrossing partitions naturally index the orbits of parking functions for the action of the symmetric group. An enlighting point of view that we take here is to consider a parking functions as a coset modulo a noncrossing subgroup. In particular, inclusion gives a partial order on parking functions. One of the main result is the Cohen-Macaulay property of this poset, which relies on topological properties of the noncrossing partition lattice. I will also discuss the related notion of cluster parking function. (The results holds in the context of finite Coxeter groups, but I will talk about the case of the symmetric group.)