Midfielder Zaire-Emery, 17, left the field in the first half of Friday's 14-0 Euro 2024 qualifying win over Gibraltar after scoring in his first international game.
He will miss two crucial Champions League games against Newcastle and Borussia Dortmund as well as a host of Ligue 1 fixtures.
After playing Metz in the league on December 20, PSG return to action after a mid-season break with the French Cup on the weekend of January 6-7.
"Having suffered a strain of an average severity to his right ankle, Warren Zaire-Emery will continue to undergo treatment until the winter break," PSG said in a statement.
Zaire-Emery has played 15 games for PSG this season, scoring twice and providing five assists in all competitions for the Ligue 1 leaders.
He will also miss France's remaining game in their qualifying campaign in Tuesday's trip to Greece.
The 2018 World Cup winners have already secured their spot in Germany next year.
