Hi Welcome to OSM. Looks like you have a new account, so I'll give you some info on the OSM project. 

On OSM, we do not removed features if they exist on the ground. If it exists on the ground, it is valid data regardless of a feature being public or private, and removing it is actually considered vandalism.

The correct way to handle this is to use OSM's tagging system. access=private seems to apply here. Once this is done, services that do use OSM data will reflect that and specify their access.

Please read more about it here:
https://wiki.openstreetmap.org/wiki/Why_we_won't_delete_roads_on_private_property

https://wiki.openstreetmap.org/wiki/Why_can%27t_I_delete_this_trail%3F