After researching the matter, we did not find any ahaadeeth which say such a thing. 

There are ahaadeeth which say that Allaah ransoms people from the Fire during Ramadaan, and that happens every night. 

Some of these ahaadeeth are saheeh (sound), some are da’eef (weak),  and some are mawdoo’ (fabricated). 

Among the saheeh ahaadeeth which speak of that are the following: 

1 – It was narrated that Abu Hurayrah (may Allaah be pleased with him) said: The Messenger of Allaah (peace and blessings of Allaah be upon him) said: “When the first night of Ramadaan comes, the devils and mischievous jinn are chained up, and the gates of Hell are closed, and none of its gates are opened. The gates of Paradise are opened and none of its gates are closed. And a caller cries out: ‘O seeker of good, proceed; O seeker of evil, desist.’ And Allaah has people whom He frees (from the Fire), and that happens every day.” 

Narrated by al-Tirmidhi, 682; Ibn Maajah, 1642; classed as hasan by Shaykh al-Albaani in Saheeh al-Jaami’, 759. 

2 – It was narrated that Jaabir (may Allaah be pleased with him) said: The Messenger of Allaah (peace and blessings of Allaah be upon him) said: “At every breaking of the fast Allaah has people whom He redeems from the Fire, and that happens every night.”

Narrated by Ahmad, 21698; Ibn Maajah, 1643; classed as saheeh by Shaykh al-Albaani in Saheeh Ibn Maajah. 

The da’eef (weak) and mawdoo’ (fabricated) ahaadeeth that have been narrated on this topic include the following: 

1 – The report narrated from Abu Hurayrah (may Allaah be pleased with him), according to which the Messenger of Allaah (peace and blessings of Allaah be upon him) said: “When the first night of Ramadaan comes, Allaah looks at His creation, and if Allaah looks at a person He will never punish him. And every day Allaah has one thousand thousand whom He ransoms from the Fire. On the twenty-ninth night Allaah ransoms a number equivalent to the number whom He has already ransomed during the entire month.” 

This is a mawdoo’ hadeeth. See Da’eef al-Targheeb, 591 and al-Silsilah al-Da’eefah, 5468. 

2 – It was narrated from Ibn ‘Abbaas (may Allaah be pleased with him) that he heard the Messenger of Allaah (peace and blessings of Allaah be upon him) say: “Paradise is scented with incense and adorned throughout the year, in preparation for the beginning of the month of Ramadaan. On the first night of the month of Ramadaan, a wind called al-matheerah comes from beneath the Throne… And on each day of the month of Ramadaan at the time of breaking the fast, Allaah has one thousand thousand whom He ransoms from the Fire, all of whom deserved to go to Hell. And on the last day of the month of Ramadaan, Allaah ransoms on that day a number equivalent to all those whom He ransomed from the beginning of the month to the end. 

This is a mawdoo’ hadeeth. See Da’eef al-Targheeb, 594. 

3 – It was narrated that al-Hasan said: The Messenger of Allaah (peace and blessings of Allaah be upon him) said: “Every night of Ramadaan Allaah has six hundred thousand whom He ransoms from the Fire. And on the last night Allaah ransoms a number equivalent to those whom He has already ransomed.”  

This is a da’eef hadeeth. See Da’eef al-Targheeb, 598.