I fell on a slick floor at a nail salon fractured my arm. do I have a case

Yes!  You potentially have a claim against the salon.  The question here is how long had the floor been slick and did the salon know about it and did they have time to remedy the situation but did not.  If they knew or should have known about the hazardous condition and were negligent in correcting it, then they could be liable for your injury.  Because your injury was a broken bone, that clearly required medical care, there is little question that it is compensable.  You should probably contact a lawyer in order to pursue your claim to make sure you receive what you're entitled to. This answer is given in accordance with the laws of Virginia and may not be applicable in any other state.  It should not be construed as legal advice, as that would require a more thorough analysis of all of the facts involved in a specific case.  If you need further information or assistance, please feel free to contact my office for a consultation. Case results depend upon a variety of factors unique to each case. Case results do not guarantee or predict a similar result in any future case.