Fair use laws allow someone to parody other's work.

This is true. Fair use enables people to parody or criticize a work without being accused of infringing a copyright. You can also use it for research properties or during education and it will fall in the same category. However, when parodying, the people who parody often seek permission from the original creator even though they don't need it just a sign of good will.

The exchange of foods between the new and old worlds