Google doesn't have support for free products but they certainly do for paid. Whether the support is good or not is another question but it's there.
Just go to https://support.google.com/googleplay/?hl=en and click "Contact Us" in the top right. All the menu items I clicked that don't have straightforward solutions went straight to a menu where within 2-3 minutes I can get live chat or a phone call.
I've also had no problems getting help with my paid Google Apps account when I need it. For cloud there's paid support with a 4-hour response time: https://cloud.google.com/support/
We pay $150 a month for google's "silver" level support for GCE, appengine etc.
It's consistently very good - they helped us with code debugging, performance optimization, load balancing and other fairly complex issues that typically need an experienced engineer.
They do have support. I was stuck once with a friendly fella, that spent 45+ minutes talking about weather and weekend adventures to me, rather than solving my issue. It took less than 5 minutes to solve the issue, almost an hour of talk time. I would even bet money that the guy was heavily stoned.
At the end he asked me to provide positive feedback to him in exchange for friendly service. He said he will redirect me somewhere and I should give him a proper feedback. This is even while I was telling me I have no time and this is an urgent matter. At the end of the call it turned out it took him 5 minutes to solve the issue and he just wanted to chat while I was stuck at talking to him, thinking he is waiting for a solution to propagate.
This is what happens when you try to drive work-morale with a stick and carrot approach. Teach your workers good morale and lead with good example, every customer is important. But also your employees.
I'm starting to really fucking hate Google.