I don't think it would work that well because blacks knight on f6 could be attacked with e5, and it would be like an Alekhine.
I personally would recommend playing an opening that fights for the center, or if you like traps try the Traxler against the fried liver, just know that it Is worse for black with perfect play.
(I'm assuming you meant "Italian game" not "Italian attack" cuz I can't find out what an Italian attack is.)
Is it possible to play the Kings indian defence with black when your opponent plays the itallian attack? I'm not sure if you can play any defense formation against the itallian etc., If so, not sure how to search for such games.
Thanks