Thank you for your question. You are on a shared server, which limits the amount of simultaneous database connections, flushing this ('mysqladmin flush-hosts') will clear the whole list on the server.
To accomplish this, you would have to be on a VPS or Dedicated server.
I recommend limiting the amount of simultaneous connections you are making, or closing one when you open a new one.
For more detailed assistance regarding your connections, contact live tech Support, so they can review your logs and provide a specific answer:
They are available 24/7 via:
Phone: 888-321-HOST (4678) x2
Chat (there is a link on the top right).