Once, after a discussion of the doctrine, Dogen instructed: It is not good to overwhelm another person with argument even when he is wrong and you are right. Yet it is also not right to give up too easily, saying, "I am wrong," when you have every reason to believe that you yourself are right. The best way is to drop the argument naturally, without pressing the other person or falsely admitting that you yourself are wrong. If you don't listen to his arguments and don't let them bother you, he will do the same and not become angry. This is something to watch carefully.
I am pretty sure that Dogen is not saying that if you think you are right, then you should ignore what the other person is saying and not listen to them. My belief is that when you feel strongly about something, you should not continue to argue with another person who may also feel strongly. But Dogen says you should not lie to yourself or to them by simply giving in and saying, "I was wrong". Rather, you should just let those types of arguments go away naturally.