Make sure your NIC is listed as supported in VMware HCL.
Then if it is, you make sure you use a supported combination of Driver and Firmware for this adapter.
You should not have too much issue, depending of the type / brand of adapter to find driver and FW.
Once you have that you can always install the new driver using update manager / esxcli software update vibs, or by following the installation instruction of the driver package.
Regards