Oxy does not require reading lists to be approved by Library staff, but you do have to publish your reading list before students can access it.
Simply click the "publish" button to make your list accessible to students.
If you decide after publication that you want to take your list offline to make changes, you can click on the Reading List Options menu (the 3 dots in the upper right-hand corner) and choose 'unpublish' from the menu that appears.