Directory fsync

[Zhu Han <schumi.han@xxxxxxxxx>]

I note below words in the manual of fsync:
       Calling  fsync()  does  not  necessarily  ensure  that  the entry in the directory containing the file has also reached disk.  For that an explicit fsync() on a file
       descriptor for the directory is also needed.

I am wondering is directory sync is essential after below steps if I want to assure the file can be retrieved after system crash?

1) create file A
2) write file A
3) fsync(file A)

--------------------------------> fsync(parent directory) [Is it essential to make the inode linked to parent directory?]