From what I've heard this works with the OEM flasher but I haven't tested it out myself on either. If the output of the electronic flasher changes state from 12 positive to ground then it will work as a ground path for the LED pod light ans when it goes to it's 12 positive the LED pod will turn off allowing dual function as a directional signal.

It may not go fully to 0 volts or ground so the LED pod light may not light as bright as it was designed for. This what I think may happen using it in this configuration.
These should do what you want.
Custom LED Blinker Genie Relay - Convert 2 wire LED blinker to 3 wire