Yes, we allow "Confidential" postings:

You can have a confidential posting but we still need to have your company name for our records. (applicant cannot see this information)

 In the  job submission form:

1
Fill out the "Company Name" field with your full company name

2
Select "No" to the "Show company name in posting?" question.
You do, however, still need to put the name of your company in the submission form when filling it out. If the company name field is not filled out correctly, your posting will not be processed quickly.