change owner of a file and it's parent directories

view full story

http://unix.stackexchange.com – I have a file that has 10 parent directories. When I change the file's owner with chown command new owner still can't write to file because the file's parent directories still have a different owner. Is there a way to also change parent directories' owner? If not, what's the best way to temporarily grant a user permission to change a file inside nested directories? (HowTos)