DANIEL 1:7
 

To them the chief of the eunuchs gave names: he gave Daniel the name Belteshazzar; to Hananiah, Shadrach; to Mishael, Meshach; and to Azariah, Abed-Nego. [Daniel 1:7 NKJV]
 

Then Ashpenaz, the chief officer, gave them Babylonian names. Daniel’s new name was Belteshazzar. Hananiah’s was Shadrach. Mishael’s was Meshach. And Azariah’s new name was Abednego. [Daniel 1:7 ICB]

Apart from changing their freewill, changing their freedom and changing their manhood, the Babylonian Chief also went ahead in changing their names to suit their religion or gods of the Babylonians then. So this moved from being a mere recruitment into becoming an initiation and conversion intended.
 

№ ¹ — The name "Daniel" in Hebrew meant "Judge of God." It was an extension of the name, "Dan" to acknowledge God in Dan. But the name which the Babylonian Chief gave to Daniel, Belteshazzar, was according to or acknowledging a god of Babylonian Nebuchadnezzar in Chaldean or Babylonian language: for the "Bel-" in that name is the name of Babylon Nebuchadnezzar idol god. As it is written,
 

[Daniel 4:8 GW'20] — "Finally, Daniel came to me. (He had been renamed Belteshazzar after my god ⌞Bel⌟.) The spirit of the holy gods is in him. I told him the dream:"
 

№ ² — The name "Hananiah" in Hebrew meant "Jah has favored or Yahweh is Gracious." But the name which the Babylonian Chief gave to Hananiah, Shadrach, was according to or acknowledging another god of Babylonians in Chaldean or Babylonian language: for the name "Shadrach" meant "Command of the moon god, 'Aku.'
 

№ ³ — The name "Mishael" in Hebrew is a question and meant "Who is God? Or Who is what God is? Or Is there a man that can be God?" But the name which the Babylonian Chief gave to Mishael, Meshach, only changed or replaced "El" (True God-Elohim) with "Ch" (false god-Aku, where Aku was a god of the moon to the Babylonians) in the spelling of Mishael for Meshach. Therefore, according to or acknowledging another god of Babylonians in Chaldean or Babylonian language: for the name "Meshach" meant "Command of the moon god, 'Aku?' or 'Who is Aku?'
 

№ ⁴ — The name "Azariah" in Hebrew meant "Jah has helped or Yahweh Helped." But the name which the Babylonian Chief gave to Azariah, Abednego, was according to or acknowledging another god of Babylonians (called Nebo) in Chaldean or Babylonian language: for the name "Abednego" meant "Slave of the god, 'Nebo.'
 

However, you are to behold how these men of God did not acknowledge nor worshipped any of the gods of the Babylonians, even though the names imposed on them acknowledged those gods of the Babylonians. Three of those men were practically thrown into furnace fire for rejecting to bow or to serve the gods which the king (they served) served. In their service to the king, they did not reject those names; but they rejected the gods in those names. They retained their true faith in the Son of God even though they were bearing Babylonian names. There's a man who bears Muslim name but he is a true Christian in faith of the Son of God.
 

Nevertheless, even though the Chief of Eunuch, Ashpenaz, gave those names to those four men of God, but a record pointed the king, Nebuchadnezzar, as he who changed Daniel's name into Belteshazzar according to "Daniel 5:12." Both Ashpenaz and Nebuchadnezzar had share in renaming Daniel, "Belteshazzar." And even beyond the kingdom of Babylon, Daniel was still known among men by the name Belteshazzar under the reign of Cyrus (Daniel 10:3).