Too many suggestions, so here it is as an answer:
Using VMware Workstation, do in the guest :
- Reinstall VMware Tools
- Try setting the adapter to a static IP address in the correct range
- Remove VM > Settings > Network Adapter and recreate
- Add a second Network Adapter
- Use Windows Update to patch fully the VM including optional updates (except Bing)
- Reinstall the network driver in Windows Device Manager: Find the Intel Pro/1000 MT Network Connection device and try "Update Driver Software" with "Let me pick from a list of device drivers on my computer"
- In Device Manager, delete the Intel(R) PRO/1000 MT Network Connection device and reboot
- Reset TCP/IP by using in a Command Prompt (cmd) that's Run as Administrator:
netsh int ip reset c:\resetlog.txt
Reset Winsock settings by entering
netsh winsock reset.
Reboot after each step and test ipconfig again.
As a last-ditch effort, you could try again VMWare Player.
Better take a backup of the VM before starting, just in case.
And if nothing works, my only advice left is to get in touch with VMWare Support or in the VMWare forums.