From The Gospel Coalition:
How did God design the preservation of his gospel? The answer isn’t through a pope or person, but through a book written over centuries by persons “carried along by the Holy Spirit.” God’s trustworthy revelation in the gospel is preserved via the infallible, authoritative Word. It’s clear Peter desires to leave a legacy, which these letters are sufficient to do as they keep Christians aware of all God desired them—and us—to know. There’s no notion here of an eventual replacement, of someone taking his place to pass on to other successors the treasure of the Christian faith.
Put simply, I don’t question Francis as the leader of the Roman Catholic Church. Nor do I question him as the legitimate papal successor to Benedict XVI. What I do question is any understanding of Christianity that puts forward Francis, Peter, or any other man as the exclusive, infallible head of the church—Christ’s vicar with unique status before God.