Official website didn't see the university recruiting teachers, so he couldn't go to that university to be a teacher.
No, the recruitment information of university teachers is usually published in official website. You can search or find relevant schools to apply for suitable positions. If there is no recruitment information in official website, it is not impossible to get in. If your own conditions are excellent enough, you can apply directly to your favorite university, and you can enter the university as a teacher if you have the conditions.