Specifically in Louisiana? Was it ever actually forbidden for them to have ownership of property (and by property I mean land)? If so, when did that change?
Don't really know if African Americans were ever banned from owning land in all or any part of Louisiana. I do know that there were many African Americans* in Louisiana who were slave owners (and some with large numbers of slaves) I would assume if you owned slaves you would also be likely to own the land that they worked.
* most of these "African Americans" would have been called "free men of colour" at the time. Today we would refer to them as "bi-racial".