“1. Peter preached the Gospel in Pontus, and Galatia, and Cappadocia, and Betania, and Italy, and Asia, and was afterwards crucified by Nero in Rome with his head downward, as he had himself desired to suffer in that manner.”
http://www.synaxis.org/cf/volume05/ECF05HIPPOLYTUS_ON_THE_TWELVE_APOSTLE.htm
Gee, I guess selective and dishonest citation isn’t helping you here.
No one is contending that Peter didn’t preach various places. Why the obfuscation? The RCC contends that Peter was the first Pope but it’s been proven otherwise.