Children can drink some milk when they have a cold, but be sure to only give it in moderate amounts. After catching a cold, a child's respiratory tract may show signs of congestion and swelling among other inflammatory symptoms. Milk is rich in nutrients, including a large amount of protein which can help enhance the child's immune resistance, so it's appropriate to drink some in moderation. However, care must be taken not to drink too much because the digestive system of a child with a cold can be quite fragile. Drinking too much can easily overburden the gastrointestinal tract, affecting the child's digestion and absorption. During a cold, it is advisable to provide the child with plenty of fresh vegetables and fruits and to encourage them to drink plenty of warm water.