It's not that I dislike Korea, I'm just not really interested either way.
Some people in Japan dislike Korea, but as for me, I just don't really care.
TOMさん
ご質問どうもありがとうございます。
様々な表現があると思いますが、いくつか自然な表現を紹介します。
1. It's not that I dislike Korea, I'm just not really interested either way.
2. Some people in Japan dislike Korea, but as for me, I just don't really care.
3. (オリジナル文章に近い半)Some Japanese people don't like Korea much, but I'm just not really interested in it.
--- to dislike = 好きじゃない
--- not interested either way = どうみてもあまり興味ない
--- I don't really care = どうでもいい、という姿勢
--- as for me = 私なら。。。
お好みに合わせて使い分けてみてください。
ご参考にしていただければ幸いです。