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So what he said in his own language is all that matters.

The Spirit of Christ inspired the recording of what the Lord said in Greek, with it greater ranges of expression, and provided more and expanded revelation thereby. And as a study of duplicate accounts evidences, sometimes the Spirit of Christ rephrased or expanded (or contracted) on what the Lord said, in giving a more comprehensive revelation.

Therefore we must go by the Greek. Meanwhile, what the Lord said is not all that matters, but what He meant, and there would be no debate if what He said was not taken to mean that Peter was the first of a line of infallible popes reigning over the church, to whose sppsd successors we are all supposed to look to (until their sppsdly Divinely guided church elects on they do not like.

But as stated, a study of the words for rock and stone in the the only wholly inspired substantive authoritative record of what the NT church believed (including how they understood the OT and gospels), shows that this Rock was the subject of Peter's confession, not Peter himself, his humble street-level leadership notwithstanding.