That IF guy says you can train while in the middle of a fast. I can't help but think that a meal an hour or two ahead of time, plus maybe a shake would make your workout better if strength is important to you right now.
If your goal is strictly fat loss and you're using Intermittent Starving to drop some lbs, then a low volume workout to retain muscle is probably fine. You won't be setting any records or making PRs, I think.
