There's an English translation of this song with music under the original title "Ca Ira" (not "Downfall of Paris") in Wanda Whitman, Songs That Changed the World (Crown, 1969, p. 5).

Everything will go, it will go.
Hang the noble lords on every lamppost!
Yes, it will go, it will go, it will go.
All the noble lords in the streets shall swing!
Hang them and burn them and break their bones,
Down with 'em all from altars and thrones!
Yes, it will go, it will go, it will go,
Hang the noble lords on every lamppost--
Lords in the streets shall swing!
(English translation by Jay Williams)

There's another English tr. in this site, along with historical background info, Real audio file (sung in French), discography, etc.