Same with fescue, which is a cool season grass and what most people here try to work with. Most people cut it way too short, and consequentially, it usually dies by the first week of June or the first week of 90 degree temperatures. Mowing it on high usually gets you into July, and if you are willing to pay $300 monthly water bills with sprinklers running 6 hours per day, it might even last the season. As a result, by the middle of summer, my Zoysia is usually the only green lawn in the neighborhood.
You must have a sunny spot in NN to have healthy Zoysia.
In Yorktown, where we have shade trees, fescue does better.
(Crab grass does best;)