January is the coldest month in Atlanta with an average low temperature of around 32°F and while snow isn't unheard of, it's highly unlikely. Snowfall generally isn't expected annually. In fact, snow hasn't fallen in the last couple of years in Atlanta. If it does happen, it's likely to fall in the month of January as that is the month that experiences the coldest temperatures. Having said that, snow can fall in the other months of winter too however, the amount of snowfall is usually very little with only around 2.9 inches expected. 

The highest snowfall ever recorded in Atlanta was in 1940, with 8.3 inches of snow accumulated on a single day.