Can I let runners run in an ankle brace after an ankle sprain?

Today's episode comes from the question-and-answer period when I was lecturing at the International Foot & Ankle Foundation Medical Conference in Las Vegas. The talk was Conservative Management of Ankle Sprains in Runners Who Want to Run.
 
During that talk, I explained to the doctors everything that I do with runners who have ankle sprains. Afterward I got a great question from Dr. Bryan Markinson, who is a  prominent  physician from New York.

He said:
 
"Okay. Is this stupid or is this not stupid? Because, I get runners who really want to run. I figure when they're in good shape, it's okay for them to run in an ankle brace. Is that really a thing that you recommend or not?"
 
Can I let runners run in an ankle brace after they've had an ankle sprain? 
 
Well, that's a great question, and that's what we're talking about today on the Doc On The Run Podcast