Since the Google Home came out on November 4th, there is no direct support for Netflix but, there is an alternate way that you can tell Google Home to play Netflix content from a mobile device to a Chromcast. To be able to accomplish this, we are going to need the help from the following applications:
I’m also going to be using an old Nexus 5 which will be without a lock screen to be able to have AutoInput execute the commands without an issue.
Update: On December 14th, 2016 Google Home received support for Netflix so you can now use it directly without the need of using this profile.