It means "I like it, but there's no such name in Arab.

"좋아하지만 이름이 아랍어 없습니다" => 좋아하지만 아랍어 이름이 없습니다. (now grammatically correct) After the correction it is grammatically correct but is still unclear in meaning. It is like: "Though (someone) likes (someone/something), there's no Arabic name". Since the subject and object of "like" is omitted, you can't figure out what it's talking about. It could be "I like (him / her / them / some artist), but they don't have an Arabic name". Or it could mean something entirely different. No one can tell your for sure without knowing the context in which it was said.