Working on some PRs I noticed that the PhpDocs always use the full FQCN (see https://github.com/stage1/docker-php/blob/master/src/Docker/Docker.php#L30)

Example:
https://github.com/stage1/docker-php/blob/master/src/Docker/Docker.php#L30

    /**
     * @var \Docker\Manager\ImageManager
     */
    private $imageManager;

instead of just @var ImageManager.

Do you want to keep this or can I create a PR getting rid of the unnecessary long FQCN names? If so, should I add the use statements for classes which aren’t used in the PHP code but just in the PhpDocs?

See http://www.phpdoc.org/docs/latest/guides/types.html#class-name that this is valid PhpDoc.