I don't think we're talking the same. 
If a moon orbits Jupiter, and Jupiter orbits Earth (somehow), then the moon, let's say Europa is orbiting Jupiter directly, not Earth. 
It would go around the Earth only indirectly, thanks to Jupiter. 

Is that clear? The "CENTER" for that moon, Europa, is Jupiter. It's a Jupter-centric orbit. 
And you said that's the case.