Fur-N-Fowl
Fluffy Dinosaur Breeder
I just stumbled across this thinking I'd found my long lost chicken relatives only to read on and find it wasn't the best news 
To try and answer your original question though, I do believe heterochromia is genetic and can be inherited. I don't know the full answer behind it though.
All I know is my Mother has Complete Heterochromia (one green eye and one blue eye) and I have Central Heterochromia (blue eyes with a gold centre)
my father has blue eyes, no Heterochromia. No one else in our family has shown it physically.
Some gentics are at play with that.
If true Heterochromia was present in chickens, I think it'd be a pretty cool project to work on!

To try and answer your original question though, I do believe heterochromia is genetic and can be inherited. I don't know the full answer behind it though.
All I know is my Mother has Complete Heterochromia (one green eye and one blue eye) and I have Central Heterochromia (blue eyes with a gold centre)

Some gentics are at play with that.
If true Heterochromia was present in chickens, I think it'd be a pretty cool project to work on!