This question assumes that ten kingdoms shall rise in a future ‘tribulation period’. Specific reference to a ‘tribulation period’ occurs in Matthew 24:21, 29, and Revelation 7:14. Neither of these passages say anything about ten kingdoms rising during the tribulation.
Reference to ten kings appears in Daniel 7:24. Since these kings are represented by the ten horns on the fourth beast, and since the vision of the four beasts is typically understood as parallel to the vision of the image and four kingdoms in Daniel 2 (where the first kingdom was identified as Babylon), historically the ‘ten kings’ in Daniel 7:24 have been identified as representing ruling powers which emerged from the breakup of the Roman empire around 476 AD. The following is a list of expositors holding this interpretation (modern critical scholars typically interpret the horns as Greek rulers during the 2nd century BCE).
185 Irenaeus
200 Hippolytus
300 Victorinus
306 Lactantius
330 Eusebius
373 Athanasius
c. 347 Cyril
340-420 Jerome
393-457 Theodoretus
520 Andreas
730 Bede
800’s Berengaud
1178 (d.) Peter Comestor
1190 Joachim D’ Fiore
1240 Eberhard II
1224-1274 Thomas Aquinas
1496 Abravanel
1522 Martin Luther
1530 Oecolampadius
1543 Melanchthon
1545 George Joye
1545 Osiander
1547 John Knox
1547 Walter Lynne
1553 Hugh Latimer
1557 Bullinger
1570 Georg Nigrinus
1593 John Napier
1601 James I
1603 Downham
1604 George Pacard
1605 Brightman
1627 Joseph Mede
1639 John Cotton
1643 Ephraim Huit
1644 Roger Williams
1646 Thomas Parker
1655 John Tillinghast
1663 Henry More
1669 Increase Mather
1670 Sherwin
1672 Samuel Mather
1684 Beverley
1689 Cressener
1689 Pierre Jurieu
1700 William Lowth
1701 Cocceius
1702 Cotton Mather
1706 Willam Whiston
1712 Heinrich Horch
1724 William Burnet
1727 Isaac Newton
1739 Edwards
1745 John Willison
1751 Robert Clayton
1754 Thomas Newton
1757 Aaron Burr
1767 Isaac Backus
1788 Benjamin Gale
1793 James Bicheno
1794 Samuel Osgood
1794 William Linn
1795 George Bell
1796 Christian Thube
1797 David Simpson
1800 Flecherere
1803 William Hales
1805 Thomas Scott
1806 George Faber
1810 Samuel Toovey
1813 Maitland
1815 James H Frere
1817 William Cunninghame
1820 John Bayford
1821 Archibald Mason
1822 John Fry
1828 Edward Irving
1829 Alfred Addis
1838 W Chauncy
1844 S R L Gaussen
1850 John Wilson
1853 Sylvester Bliss
1859 William Newton
1860 E J Onion
1861 Hollis Read
1861 Samuel Garratt
1871 John Birchmore
1882 Bourchier Savile
1883 JJ Cleveland
1884 James Murphy
1906 James Stacy
1917 WA Spicer
1918 Frederick Smith