The odd-even lawn watering is always in place, even in winter. You can get a citation at any time of the year.
You can also get a citation for watering when the temperature is 32 degrees or below. Watering during freezing weather wastes water and can create icy streets and sidewalks.
Most lawns do not need much water during the winter. Bermudagrass goes dormant and only needs water during long, dry periods. Cool-season grasses, like tall fescue, need about 1 inch of water every two weeks.