I am unable to access chat. Why am I permanent banned from chat? How am I supposed to communicate with moderators?
You are not..exactly.... banned from chat.
You are currently suspended on Cog Sci for 244 more days. As this is the site you selected as your chat parent site, you are banned from chat for the remainder of that suspension.
If you have need of chat, your parent site can be changed, although for now I'm going to leave that for you to discuss with SE.
Please feel free to use the "Contact Us" link at the bottom of the page to do so.