Check out A Word About Quotation Marks by rogersgeorge. Here is an excerpt:
My topic today, class, is “what do you do when you have a quote inside of a quote?” Here’s an example of it being done correctly:
“On Chrome OS, we were like, ‘We control all the pieces. We can do better,’” Will Drewry, a principal software engineer for Google’s devices, and one of the founding…
The full article is available here.