Some reported problems with Zoysia Grass include: the grass is invasive, it causes the lawn color to change drastically based on the weather, it can be slow growing, and it can be very difficult to remove once planted.
Zoysia grass is an option more suited to warmer climates, where there are fewer temperature shifts, which help to minimize the adverse effects of this grass. This grass is invasive, meaning it will spread out without needing to be seeded. Additionally, because the grass is slow growing, it will not recover quickly from damage or from being cut. Depending on the climate, this grass requires more maintenance to help it grow and flourish, as well as additional maintenance to keep it from overtaking other parts of the yard (such as flowerbeds).