This is why Jesus insisted the disciples not leave Jerusalem until they were filled with the Holy Spirit. (Acts 1:4-5) It is so important to each believer, as your sincere interest is exemplified by asking this question. Seek Charismatic relief as prescribed by the personable God Himself.
At the right time This is what the Bible stated in Galatians, Jesus came at the right time... (Galatians 4:4) I'm sure we all would realize that if Jesus came during the 21st century, with all its technological wizardrytechnological wizardry, that every miracle He did would be dismissed by sceptics as merely digital trickery!. People seeing Jesus today could not be sure if it were AI or the real Jesus talking to them.
If Jesus came sooner than the 1st century, He would not have fulfilled the date-constraineddate-constrained prophecies prophecies of the Old Testament. (See Daniel's prophecy, chapter 9) Also, Jesus had to arrive when there was a Temple (a requirement of Malachi); He had to come when genealogical records existed (to prove He was a son of David; the Temple with all its records was destroyed in 70 A.D.). He had to come when crucifixion was a mode of capital punishment (Isaiah 53).
Jesus came at the right time, logistically, as well. Because of the Diaspora, (scattering of the Jews), and inability of Jews to travel all the way to the Temple in Jerusalem, the synagogue form of worship proliferated! There were synagogues in villages and cities throughout the whole Mediterranean landscape, as well as the land of Judea. This made it quite functional for the spread of the Gospel by Jesus and Hid Apostles. They were able to proclaim the Good News to gathered Jews everywhere with no logistical hinderances. (Mathew 4:23, 9:35, 12:9, 13:54; Acts 9:20, 13:5,14, 14:1, 15:21, 17:1, 18:4, 26, 19:8)
And others have noticed the benefit of Jesus coming in the first century: the Greek language was known all throughout the Roman Empire: the Lingua franca was Greek, and it could be spoken and written by all the educated people that Jesus and the Apostles preached to. Thus also, the New Testament was written in this universal language.
So Jesus came at the right time...and He left in the right way...giving the Holy Spirit Presence to all His disciples!
At the Right Place Jesus came to Israel (Jerusalem) because that is where most of the supernatural prophecies were to find their fulfilment. If He showed up anywhere else, there would be no evidence for us to examine as proof of His deity. Neither Peru or Nigeria nor Germany, etc. had the Scriptures for us to test Jesus's claims.
Also, the land Province of Syro-Palestine was located in the crossroad of the civilized Roman empire. Paths going north and south (Turkey to Egypt) and trade routes east and west (Persia to Spain) went through this Jewish land. (Compare Matthew 8:11, Acts 2:5-11, long list of nations!)) Jesus appearing here was quite convenient...Providential.