The green represents the fact that it is an outdoor grounding wire.
Green wire to copper ground.
Green wires connect to the grounding terminal in an outlet box and run from the outlet box to the ground bus bar within an electric panel.
In house wiring the ground is typically bare and has no coating.
The bare ground wire this wire visible in our photo as the un insulated copper wire seen between the white top and black bottom wires connects to the green ground screw usually found on the bottom of the electrical receptacle photo at left.
The ground wire will be either green or bare copper wire.
A green wire can connect only to another green wire and should never connect to any other color wire.
This particular copper grounding wire is insulated and can be used outdoors without there being any concerns about moisture getting to the copper wire itself.
Your box is not set for a ground.
Update curtis is right below this post.
If you have a ground wire bare copper wire you should hook to there.
Typically the fan and the mounting plate will have green wires to ground out the fan and the electrical box.
Not only can this wire be considered a ground wire outdoors but it can also serve as a conductor.
100 feet green solid copper ground wire ul listed heat moisture gas and oil resistant 10 gauge solid copper wire made in the usa product information product dimensions 6 5 x 4 5 x 6 5 inches item weight 3 64 pounds asin b008oilg5i item model number fba 10 gw 10 100.