The Papacy, yes. But as the office of Peter? No.
Really? Then please explain these quotes from the early church :
Tertullian (c. AD 197) speaks of Peter apart from Paul as ordaining Clement as his episcopal successor (De Praescrip Haer 32).
(2) The Poem Against Marcion (c. 200 AD) states how
“Peter bad Linus to take his place and sit on the chair whereon he himself had sat” (III, 80). The word “chair” (cathedra) in ecclesiastical language always means one’s episcopal throne (i.e. the bishop’s chair).
(3) Caius of Rome (214 AD) calls
Pope Victor the thirteenth bishop of Rome after Peter (Euseb HE V, 28).
(4) Hippolytus (225 AD) counts Peter as the first Bishop of Rome (Dict Christian Biog I, 577).
(5) Cyprian (in 250) speaks of Rome as “the place of Peter” (Ep ad Anton), and as “the Chair of Peter” (Ep ad Pope Cornelius).
(6) Firmilian (257) speaks of Pope Stephen’s claim to the “succession of Peter” and to the “Chair of Peter” (Ep ad Cyprian).
(7) Eusebius (314) says that Peter was “the bishop of Rome for twenty-five years” (Chron an 44), and calls Linus “first after Peter to obtain the episcopate” (Chron an 66). He also says that Victor was “the thirteenth bishop of Rome after Peter” (HE III, 4).
(8) The Council of Sardica “honors the memory of the Apostle Peter” in granting Pope Julius I the right to judge cases involving other episcopal sees under imperial Roman law (Sardica Canon IV, and Ep ad Pope Julius).
(9) Athanasius (340’s) calls Rome the “Apostolic Throne” – a reference to the Apostle Peter as the first bishop to occupy that throne (Hist Arian ad Monarch 35).
(10) Optatus (370) says that the episcopal chair of Rome was first established by Peter, “in which chair sat Peter himself.” He also says how “Peter first filled the pre-eminent chair,” which “is the first of the marks of the Church.” (Schism Donat II, 2 and II, 3).
(11) Pope Damasus (370) speaks of the “Apostolic chair” in which “the holy Apostle sitting, taught his successors how to guide the helm of the Church” (Ep ix ad Synod, Orient ap Theodoret V, 10). Damasus also states how “The first See is that of Peter the Apostle, that of the Roman church” and says how Rome received primacy not by the conciliar decisions of the other churches, but from the evangelic voice of the Lord, when He says, “Thou art Peter…” (Decree of Damasus 382).
(12) Ambrose (c. 390) speaks of Rome as “Peter’s chair” and the Roman church where “Peter, first of the Apostles, first sat” (De Poenit I, 7-32, Exp Symb ad Initiand).
(13) Jerome (c. 390) speaks of Rome as the “chair of Peter” and the “Apostolic chair,” and states that Peter held the episcopal chair for twenty-five years at Rome (Epistle 15 and se Vir Illust I, 1).
(14) Augustine (c. 400) tells us to number the bishops of Rome from the chair of Peter itself (in Ps contra Part Donat), and speaks of “the chair of the Roman church in which Peter first sat” (Contra Lit Petil).
*"The papacy undeniably has undergone development historically. In this section though we will look at the papacy from how it manifested itself in the pre-Nicaea period. This is being done to aid in properly understanding the later developments of papal authority by assessing the seeds of what would later be called papal jurisdiction and (by implication) papal infallibility. The Primacy of the Roman See is a well-established fact of Church history that was even attested to by Orthodox scholars Fr. Nicholas Afanassieff and Fr. Alexander Schmemann. They did not concede everything on the matter that the Catholic Church claims of course. However, it is important to notice how what they do say is perfectly consistent with the development of doctrine paradigm. This is concerning the Catholic doctrine of primacy of the Roman See as well as Rome being the final court of appeal in the early Church. In discussing the topic of St. Peter’s Primacy, we will start with Fr. Nicholas Afanassieff. Fr Afanassieff was a professor of canon law and church history at the Orthodox Theological Institute in Paris. The quotations from him and Fr. Alexander Schmemann were taken from an Orthodox source titled The Primacy of Peter: Essays in Ecclesiology and the Early Church (edited by JohnMeyendorff):
'As we study the problem of primacy in general, and especially the primacy of Rome, we must not be ruled by polemical motives: the problem is to be solved to satisfy ourselves and Orthodox theology.
The solution of the problem is urgent, since Orthodox theology has not yet built up any systematic doctrine on Church government. And although we have a doctrine concerning Ecumenical Councils as organs of government in the Church,
we shall see presently that our doctrine is not enough to refute the Catholic doctrine of primacy…
The epistle is couched in very measured terms, in the form of an exhortation; but at the same time it clearly shows that the Church of Rome was aware of the decisive weight, in the Church of Corinth’s eyes, that must attach to its witness about the events in Corinth.
So the Church of Rome, at the end of the first century, exhibits a marked sense of its own priority, in point of witness about events in other churches. Note also that the Roman Church did not feel obliged to make a case, however argued, to justify its authoritative pronouncements on what we should now call the internal concerns of other churches… Apparently Rome had no doubt that its priority would be accepted without argument.’ "*exerpt taken from :
matt1618.freeyellow.com/papalprimacy.html
