+1 nielse and +1 gortee
edit /etc/udev/rules.d/70-persistent-net.rules
comment out all previous versions of eth0 (keep the one with the new MAC - you can check the MAC in vSphere VM settings)
Then you have the choice of editing the /etc/sysconfig/network-scripts/ifcfg-eth0 file directly if you know what you're doing (make sure ONBOOT=YES )
At minimum it should look like this:
DEVICE=eth0
BOOTPROTO=none
ONBOOT=yes
NETWORK=10.0.1.0
NETMASK=255.255.255.0
IPADDR=10.0.1.27
USERCTL=no
or by running 'system-config-network' and use the GUI
Make sure the NIC is set to connect at startup in VM settings...
Once configured, reboot the VM
There you should have your new NIC shown in ifconfig.