What is the path on which cricket is played called?

That's the cricket "pitch", my friend.

Often, confusingly for Americans, it's called the "wicket".

The word "wicket" occurs with different meanings in the game of cricket and it's best to call the "path" the "pitch".

There are also rather slangy words used such as the "track".

I call it the "pitch", because that's the "proper" word for it.