Most people, including kids, are cranky when they have a fever. So if Tylenol or acetominophen doesn't 'count' for you as a cold remedy, it will at least help reduce the fever so your child won't feel so crummy and can sleep.
The other posts are things I would have recommended as well. Don't forget the orange or apple juice too. If your child can have soup, making a vegetable and chicken soup with plenty of basil, garlic, and even a little bit of ginger should help a lot - basil helps to cough/blow out mucus, ginger/garlic help with immunity, carrots and some diced tomatoes are great for vitamin C. Throw some fun spiral or bowtie noodles in as a hearty soup.