I'm setting up a new server right now, my main controller (Broadcom 9440-8i) was detected automatically by ESXI and the NVMe RAID is working fine.
However, Broadcom 9341-4i is not detected. I checked the VMware compatibility guide and downloaded driver "lsi_mr3 version 7.705.09.00-1OEM" which is listed for ESXi 7.0 U1.
After a reboot I was greeted with a pink debug screen:
I used the following command to install the driver:
esxcli software vib install -v /vmfs/volumes/xxxx-xxxx-xxxx/drivers/lsi-mr3-7.705.09.00-1OEM.670.0.0.8169922.x86_64.vib