When you have an answer ban, you cannot post any answers. At all. Not even to your own questions. All answers are blocked when you have an answer-posting ban.
This is part of the system. You can't post any answers on a site where you have an answer ban until you resolve the issue which got you answer-banned to begin with, and show other positive contributions until the system removes the answer ban. (Moderators and SE Employees can't remove such bans)
You might want to visit the Help Center for more details, but you need to provide other non-answer contributions to the site so the system can see that other positive contributions outweigh the negative contributions that got you the answer-ban to begin with.
Also read this thread on Meta.SE which is also very relevant and touches upon the details about what led to the ban and what you can do to fix the problem.