There is no country that currently has a population of exactly zero. While some areas might be uninhabited, they are generally part of a larger country with a population. Even locations such as research stations in Antarctica are often considered to have temporary residents, even if very few.
It is important to differentiate between:
- Uninhabited territories: These are areas that may be part of a recognized country but have no permanent residents.
- Countries with very small populations: These are recognized, independent nations.
Vatican City, for example, is the smallest fully independent nation-state and has a very small population (around 800 people), but it is far from zero.
Therefore, the answer to the question is that no country has a population of zero.