Yes, more than French territory in fact (that's what he was getting at but that's not really the meaning of 'universal'): Every French citizen in the world has the right to vote in Presidential elections and every French citizen in the world is part of a parliamentary constituency and can vote for a Representative/MP. Usually the polling station is the nearest Consulate or Embassy.
For instance there is a French MP who is elected in North America to represent French citizens who live in the USA and Canada in the French Parliament [1]. Map of the constituencies [2] (The MP for the 11th constituency must max out on air miles).
[1] https://fr.wikipedia.org/wiki/Premi%C3%A8re_circonscription_...
[2] https://fr.wikipedia.org/wiki/Fran%C3%A7ais_%C3%A9tablis_hor...