First, loop mount the ISO image and extract the files from it:
mkdir -p /tmp/esxi/{mnt,files}
mount -t iso9660 -o loop /path/to/ESXi-installer-image.iso /tmp/esxi/mnt
cp -a /tmp/esxi/mnt/* /tmp/esxi/file
mount -t iso9660 -o loop /path/to/ESXi-installer-image.iso /tmp/esxi/mnt
cp -a /tmp/esxi/mnt/* /tmp/esxi/file
Then add the e1000e driver to the ESXi files:
cp /path/to/E1000E.tgz /tmp/esxi/files/net_igbe.t00
sed -i 's|/net_igb.v00|&1 --- /net_igbe.t00 ---|' /tmp/esxi/files/boot.cfg
sed -i 's|/net_igb.v00|&1 --- /net_igbe.t00 ---|' /tmp/esxi/files/boot.cfg
And wrap the new ISO image:
mkisofs -o /path/to/updated/esxi-installer.iso \ -b isolinux.bin -c boot.cat -no-emul-boot \ -boot-load-size 4 -boot-info-table /tmp/esxi/files/
The image with 82579v is now ready for installation. After the ESXi is installed, it discards the custom driver and is should be added to the system on the hard disk. Luckily, I had Linux installed on the same box, so all I needed to do is to reboot to Linux, mount the ESXi partition containing the drivers and put E1000E.tgz there:
mkdir -p /tmp/esxi/mnt
mount /dev/sda5 /tmp/esxi/mnt/
cp /path/to/E1000E.tgz /tmp/esxi/mnt/net_igbe.t00
sed -i 's|/net_igb.v00|&1 --- /net_igbe.t00 ---|' /tmp/esxi/mnt/boot.cfg
umount /tmp/esxi/mnt/
mount /dev/sda5 /tmp/esxi/mnt/
cp /path/to/E1000E.tgz /tmp/esxi/mnt/net_igbe.t00
sed -i 's|/net_igb.v00|&1 --- /net_igbe.t00 ---|' /tmp/esxi/mnt/boot.cfg
umount /tmp/esxi/mnt/
After rebooting back to ESXi the network will be up and running.