-Should not
When a child has a cold, do not use aspirin. Because this medicine has been linked to Reye's syndrome - which is potentially life-threatening to a child.
You should give children other medicines such as acetaminophen (Tylenol…, ibuprofen (Advil, Motrin...). However, parents need to pay attention to ensure that children use the correct dose and according to the instructions. You should consult your doctor before giving your baby any strange medicine if in doubt.