This is a great question about a very thoughtful and powerful essay. Judging from the tenor of the essay, Rodriguez's essay is directed towards all people who do not see what Rodriguez means by the provocative words he recalls he said to Bill Moyers during an interview:
Last year, I was being interviewed by Bill Moyers. “Do you consider yourself American or Hispanic?” he asked.
“I think of myself as Chinese,” I answered.
To be more specific, I believe he is predominately addressing white Americans (after all he is talking with Bill Moyers) who might have trouble seeing that culture being changed is a good thing. As much as immigrants change, immigrants change America as well.
He ends his essay with these words, which encapsulate his perspective:
Listen to my voice and you will hear your Lithuanian grandmother. Listen to my American voice and you will hear the echoes of my Chinese neighbors. Yes, Mr. Bill Moyers, we are all destined to become Chinese.