8 And it shall come to pass, that the nation and kingdom which will not serve the same Nebuchadnezzar the king of Babylon, and that will not put their neck under the yoke of the king of Babylon, that nation will I punish, saith the LORD, with the sword, and with the famine, and with the pestilence, until I have consumed them by his hand.
[AD 345] Aphrahat the Persian Sage on Jeremiah 27:8
By the mouth of his prophet God called the heathen king Nebuchadnezzar, king of kings. For Jeremiah said, “Every people and kingdom that shall not put his neck into the yoke of Nebuchadnezzar, king of kings, my servant, with famine and with sword and with pestilence will I visit that people.” Though he is the great King, God does not begrudge the name of kingship to mortals. Though he is the great God, yet he did not grudge the name of godhead to the children of flesh. Though all fatherhood is his, he has called men fathers too. He said to the congregation, “Instead of your fathers shall be your children.” Though authority is his, he has given people authority one over another. While worship is his for honor, he has still allowed in the world for one human being to honor another.… Behold the grace and the love of our good Maker, that he did not begrudge to people the name of godhead and the name of worship, and the name of kingship and the name of authority, because he is the Father of the created things that are over the face of the world, and he has honored and exalted and glorified human beings above all creatures. For with his holy hands he formed them, and with his Spirit he breathed into them, and he became a dwelling place for them from ancient times. He abides in them and walks among them. For he said through the prophet, I will dwell in them and walk in them.

[AD 420] Jerome on Jeremiah 27:8
(Verse 8) However, the nation and kingdom that will not serve King Nebuchadnezzar of Babylon, and whoever will not bend their neck under the yoke of the king of Babylon, I will visit upon that nation with the sword, famine, and plague, declares the Lord, until I have consumed them by his hand. Not only does the Lord subject sinful nations to Nebuchadnezzar, but the Apostle also speaks of sinners: whom I have handed over to Satan, that they may learn not to blaspheme (1 Timothy 1:20). And in another place: I have handed over such a person to Satan for the destruction of the flesh, so that his spirit may be saved (1 Corinthians 5:5). It also warns to obey the authorities, not only because of wrath but also because of conscience, so that we may not be condemned by them.

[AD 430] Augustine of Hippo on Jeremiah 27:8
For Jeremiah also prophesied that the Lord commanded them to go into Babylon. He reproved as false prophets any of the other prophets who told the people not to go to Babylon. Let those who read the Scriptures remember this as we do. Let those who do not, give us credit. Jeremiah, then, on the part of God, threatened those who would not go to Babylon, whereas he promised rest to those who would go and even a kind of contentment in the cultivation of their vines, and planting of their gardens and the abundance of their fruits.