Replacing hardwired dishwasher with existing wire
The green wire is the same as the bare copper.
The green or bare copper is the equipment grounding conductor and it should be tied to the frame.
Connect the green wire to the bare copper in the box should be connected to the frame by a green grounding screw.  Tried to phrase it both ways but green or bare from the supply to the machine doesn't matter the connection to the system ground and to the frame is the important part.