Have you read the Canon?
There are several translations in English, I am sure, but I think they all say something similar.
Here is an example…
34. Do not ye receive any stranger, whether bishop, or presbyter, or deacon, without commendatory letters; and when such are offered, let them be examined. And if they be preachers of piety, let them be received; but if not, supply their wants, but do not receive them to communion: for many things are done by surprise.
35. **The bishops of every country ought to know who is the chief among them, and to esteem him as their head, and not to do any great thing without his consent; but every one to manage only the affairs that belong to his own parish, and the places subject to it. But let him not do anything without the consent of all; for it is by this means there will be unanimity, and God will be glorified by Christ, in the Holy Spirit. **
36. A bishop must not venture to ordain out of his own bounds for cities or countries that are not subject to him. But if he be convicted of having done so without the consent of such as governed those cities or countries, let him be deprived, both the bishop himself and those whom he has ordained.
In this rendition, the relevant canon would be numbered as 35. Sometimes it is counted as 34.
I believe that you are condensing a much larger discussion into one point, the bishop of Rome is not specifically mentioned here at all.
These “canons” are very old, but probably no older than the 3rd century.
If you want a counter to this, you would refer to the modern Code of Canon law.