Have you a link to that writing? Im curious to know if the ‘‘pope’’ referred to is the Bishop of Rome? Is there anything in the writing that indicates that it is?
Yes. Bishop of Rome is a title of the Pope. He is the bishop of the City of Rome as well as the Supreme Pontiff, which is another title of the Pope. Here are the Church Fathers on the bishops and the Pope:
See that ye all follow the bishop, even as Jesus Christ dose the Father. He who honors the bishop has been honored by God; he who dose anything without the knowledge of the bishop, dose serve the devil. - St. Ignatius, bishop of Antioch 107 AD
When we refer them to that Tradition which originates from the Apostles, which is preserved by means of the succession of presbyters [bishops] in the churches, they object to Tradition, saying that they themselves are wiser, not merely than the presbyters, but than even the Apostles. - St. Irenaeus, bishop of Lychos 180 AD
It is necessary to obey the presbyters who are in the Church, those who, as I have shown, possess the succession from the Apostles. - St. Irenaeus
For it is with this Roman church, by reason of its more powerful pre-eminence, that every church, that is to say all the faithful everywhere, ought to agree. - St. Irenaeus
Indeed, the others were that also which Peter was; but a primacy is given to Peter, whereby it is made clear that there is but one Church and one chair. - St. Cyprian, bishop of Carthage 251 AD
There are many other things which most properly can keep me in [the Catholic Church’s] bosom. The unanimity of peoples and nations keeps me here. Her authority, inaugurated in miracles, nourished by hope, augmented by love, and confirmed by her age, keeps me here. The succession of priests, from the very see of the apostle Peter, to whom the Lord, after his resurrection, gave the charge of feeding his sheep, up to the present episcopate, keeps me here. And last, the very name Catholic, which, not without reason, belongs to this Church alone, in the face of so many heretics, so much so that, although all heretics want to be called ‘Catholic,’ when a stranger inquires where the Catholic Church meets, none of the heretics would dare to point out his own basilica or house. - St. Augustine, bishop of Hippo 397 AD
If the very order of episcopal succession is to be considered, how much more surely, truly, and safely do we number them from Peter himself, to whom, as to one representing the whole Church, the Lord said, ‘Upon this rock I will build my Church, and the gates of hell shall not conquer it.’ Peter was succeeded by Linus, Linus by Clement. - St. Augustine, 412 AD