network is solid for me
hi,
My experience is different to yours: I have had network connections shared (sharing the airport connection) and also had independent wired connections to VMs running Windows 7 and Windows 2008R2 without any glitches.
did you experience network issues with the host machine at the same time? how is your guest network configured?
Not knowing anything more, you could try generating a new MAC, change to a different network connection type and see how you go. I had issues with shared Vs. Bridged which turned out to be an issue with the internet uplink not the computer.
Have you checked for updates for Parallels and your host?
good luck,
Duncan