unlock old phone without effecting new phone.

Since that iPhone is not currently being used, put the request in as a non customer. No phones number is needed.

Thanks.  I did as you said, and it looks like it worked. 

One interesting thing was that apparently iPhones don't need an unlock code, so on the AT&T response the unlock code field is blank.   That threw me for a bit since I though the unlock request failed.

Well I still have an issue.  The iPhone says under Carrier Lock --> SIM Locked.  So when I put the SIM from my Verizon phone it does not work.  I assumed it should say nothing under Carrier Lock.   Any thoughts. 

Once the phone is unlocked, it will say “no sim restrictions”. You need to wait at least 24 hours after getting the approval notice to give Apple time to update their activation servers. When you insert a SIM card from a different carrier, the phone should contact Apple activation servers and complete the unlock. Your phone will need internet access to accomplish that.

Thanks for the info.  The phone has internet access.  But it has only been about 20 hours since they sent the approval email.  So, I will check it tomorrow morning.