This board works out of the box with ESXi 5.
LGA1155 board is a MicroATX with dual onboard Realtek 8168 Gigabit Ethernet.

CPU: LGA1155 socket for 2nd Generation Intel Core Family and Unlocked Processors Supports "Hyper-Threading" technology
Chipset: Intel H67 Chipset
Memory: Dual-channel DDR3 Memory architecture 4 x 240 pin DDR3 DIMM sockets support up to 32GB Supports 1333 DDR3 SDRAM
Expansion Slots: 1x PCI Express Gen2 x16 slots 2 x PCI Express x1 Slots 1 x PCI slots
Storage: Supported by Intel H67 Chipset 3 x SATAII 3.0 Gb/s Host Controllers 2 x SATAIII 6.0 Gb/s Host Controllers 1 x eSATA 3.0 Gb/s
1 PCI and 3 PCIe slots

Current UEFI BIOS supports VT-x
Current UEFI BIOS does not support VT-d

Can you please provide a screen shot of your esxi summary page. Id like to see if the manufacturer is detected by esxi


Cheers!