What's the green equivalent of rose gold, the color?

I would say metallic frost green, like you'd see on vintage cars, has similar vibes.

That would be "Metallic [ green shade ]"

I'd say metallic mint would be a good match.

Metallic colors like rose gold are named in such a way when the metal with that color actually exists. Another example would be Steel Grey. But usually for other non alloy colors you say Metallic Colorname.

Verdigris? Malachite? Metallic green?

Mint?

Sage green

Rose green?