I had this info salted away, and it took awhile to remember where I had put it, sorry.
I'm not sure about the specific QuickPanel model, however I can tell you that any HMI that support SNPX (serial) and/or SRTP (Ethernet) can communicate with the R-J3.
To get the Fanuc to talk SNPX and/or SRTP requires a PAC to activate the SNPX option. Fanuc says absolutely nothing about SRTP anywhere, but it seems to work fine. We verified this fairly recently with a late model QuickPanel.
Oddly, we've been asking Fanuc for about 5 years for HMI support, and they NEVER MENTIONED this.
We stumbled on it; it seems that the magic word is SNPX, rather than QuickPanel, GE Fanuc, or HMI.