2014 HD 2500 DIESEL Chevy Truck

There's no way to answer that question with the info you provided.

reddog7571 wrote:
Will the above truck safely handle a 38' 5th wheel?

You have to provide more information in your request. Make and model of 5th wheel and GVWR. Chris

You will get good, experienced and most often friendly advice here.
Of course the dealer will tell you, "Sure you can pull it, no problem." It's kinds of the basic dealer speak.

Find out the GVWR (gross vehicle weight rating) of the trailer you are considering and come back here to the Forum and post the details....do this BEFORE you sign a deal with this dealer.

I haven't bought the 5th wheel yet, I'm being told my unit will pull it. I'm looking for some imformation from someone much more seasoned in this realm. I'm brand new to this!!

It will pull it, but what is the loaded pin weight of your trailer?
My guess (without the details) is that you will be a good bit over your PAYLOAD capacity.