No, no one will come to your job and arrest you for not paying a debt. If you really owed a debt, they would have to go to court, file a lawsuit, get a summons, and serve you with it telling you about the suit. They could serve you with the summons at work, but that's just a piece of paper. That's not going in, dragging you out, and taking you to jail.
The reason these men have heavy accents is that most of them are located in foreign countries. They don't really know where you work, unless you told them, and are not going to show up at your job. You can just ignore them. It's a scam.
If you think you might owe a debt, you can view your credit report
for free at www.annualcreditreport.com
. That will tell you if you do owe money, and to whom, so if someone calls you again you'll be able to verify that they're not someone you owe.
"No fraud state" sounds like something they made up. I don't know what they're talking about. The Fair Debt Collection Practices Act applies to every state. There has not been a state in the US where you can be jailed for not paying a debt for a couple hundred years.