I was curious what life was like as black man in Rome, as black man myself if I was teleported to Rome during fourth century AD would I be harrsed or treated as nonhuman?
No, to the best of our knowledge that would not happen.
u/cleopatra_philopater has written several wonderful posts on this topic.
On race in the Roman Empire in general
Doesn't deal with precisely your time period, but there's no reason to assume anything changed in regards to perceptions of skin colour.
On race in Ptolemaic/Roman Egypt
Even more depth than the previous answer.