tonight i was playin a game of warhammer invasion and we were playin i quickly burned his battlefield but then he exploded outta no where and was able to regroup he then played rune of hearth and home and said he no longer had his battlefield burning i said u cant heal a burning zone but couldnt find it in the rulebook so gave it to him i eventually won anyway but the question is can u hel a burning zone

No. There is nothing actually that can remove a burning token on a zone. So if it'es burned, it's burned.

thank u but 4 arguments sake do u remeber where that was in the rules i swear i remeber readin that but i cannot find it anywhere

There is no card that can return a already burned capital to normal. You have to look for "Healing" where it is said "remove damage tokens" and a burn token is not a damage token.