pokemon heart gold/soul silver wi-fi compatibility

i was just wondering whether a japanese version of the game and the english one can play together wirelessly and/or wi-fi

they do both. I have done it many times. as long as you don't cheat on the retail cartridges things should be fine.
I use a hg-j on r4sdhc flashcart and ss-u retail/ legit

i see. thanks a lot!