@heavanet- You can absolutely use shea butter as an eczema treatment for the face. It is very soothing, and is quite likely to calm the red, flaky appearance of facial eczema.
When applying shea butter to the face, you should make sure that the surface skin is clean and dry. Only use a small about of shea butter, because a little goes a very long way. Finally, you can set shea butter in place by dusting on a light layer of natural, mineral powder.