Address change during pending H1B Petition ?

Check out the AR-11 rules as it appears on the uscis website. That form should ensure your move is recorded and also check on the uscis website with receipt number as they usually record when documents are mailed.

There should be any issues. Nevertheless, once you move you must change your address with USCIS. I advise my clients to always change the address online because you get a confirmation code, which you can keep in your records. Moreover, will you be changing status from one visa to another. If so you can file the change of address together with your change of status.