I guess you only should connect it to one of your USB ports.
Then you define a mountpoint (ex, under /mnt you create a "subdir" like /zip). That gives you /mnt/zip
Then, as root you define this mountpoint linked to the hatdware device like :
mount -t vfat /dev/sda1 /mnt/zip
You'll then have access to your zip via the mountpoint /mnt/zip (browse to that via nautilus for example)