No. The Zenit story is flatly incorrect.
Both the headline and the passage quoted above mistake the pope as speaking about Jesus when he is actually speaking about the devil—that is, he is saying that the devil doesn’t care what kind of Christian you are.
Here is the relevant passage from the pope’s remarks:
Division is the work of the Father of Lies, the Father of Discord, who does everything possible to keep us divided.
Together today, I here in Rome and you over there, we will ask our Father to send the Spirit of Jesus, the Holy Spirit, and to give us the grace to be one, “so that the world may believe”.
I feel like saying something that may sound controversial, or even heretical, perhaps.
But there is someone who “knows” that, despite our differences, we are one.
It is he who is persecuting us. It is he who is persecuting Christians today, he who is anointing us with (the blood of) martyrdom.
He knows that Christians are disciples of Christ: that they are one, that they are brothers! He doesn’t care if they are Evangelicals, or Orthodox, Lutherans, Catholics or Apostolic…he doesn’t care! They are Christians.
As you can see, Pope Francis establishes a chain of referents for the pronoun “he” (in “He doesn’t care”) that repeatedly identifies the individual in question as the devil.