hanger brackets for merillat kitchen drawer
It sounds like you might need a new drawer bracket. Based on your description, it could be something like our 32-119, but this is just an educated guess. If possible, I'd like to see a picture of the original.
Another thing to note is that all of our drawer sockets screw on. It may be possible to still install something like our 32-119, but you'd have to install a piece of wood like a 1x4 to the back of the island using a type of construction adhesive. You'd then simply screw the 32-119 to it. That said, I'm not sure if this setup can work for your specific drawer, since I'm not sure what you have. Let me know your thoughts.
...note cut-out on inside of what,s left of bracket

The old Merillat socket is usually just plugged into the back wall of the cabinet, and therefore should pop off without much force. However I have seen in many instances that the cabinet assemblers will glue the socket in place, which makes the project a little more difficult. If that's the situation you're in, I suggest going to your local hardware store and asking them what they'd suggest you use to remove the adhesive to allow for replacement.