If someone permits something, they allow it to happen. If they permit you to do something, they allow you to do it.

A permit is an official document which says that you may do something. For example you usually need a permit to work in a foreign country.

If a situation permits something, it makes it possible for that thing to exist, happen, or be done or it provides the opportunity for it.

If you permit yourself something, you allow yourself to do something that you do not normally do or that you think you probably should not do.

You can use permit me when you are about to say something or to make a suggestion.