Sure, you could configure it that way, but I'd recommend against it if it's a public-facing server. You shouldn't be sending your login credentials over an unencrypted connection. RapidSSL sells certificates for $49/year IIRC, worth it to get around the browser hassle, and much better than having no encryption.

You could also be deploying your self-signed certificate internally, but that's not really an OpenERP subject.

I made it work with HTTP ://mydomain.com through the router configuration

Open your site configuration file in sites-enabled and replace its contents with: (Don't forget it back it up)

server {
  listen 80;
  send_timeout 600;
  client_max_body_size 256M;
  server_name example . com example . org;
  location / {
    proxy_pass h t t p: // localhost:8069;
  }
}

Restart Nginx and test. The lines:

  send_timeout 600;
  client_max_body_size 256M;

are for my use case. You are free to adjust or remove them. Sorry, I can't post links, so remove extra spaces.