Schools are not going to be so upfront in their job ads by saying they don't require a bachelor's degree. Obviously a school will be happier if they can get a teacher with a degree.
Checkout the job requirements, and if a university degree is not listed in the requirements, then it would be safe to apply.
I've come across many school job postings at the
China Jobs Forum where you can apply even though you don't hold a Bachelor's degree.