Balogun netted the winner in the 22nd minute of Saturday's match but was forced off after the hour mark with an apparent shoulder injury.
It was unclear whether he would be able to join the US squad ahead of matches against Panama and Mexico.
Unbeaten Monaco battled throughout the second half but kept their small advantage intact to move to the top of the table. Lagging three points behind, defending champions Paris Saint-Germain can close the gap in Nice on Sunday.
Thilo Kehrer put the visitors in front in the sixth minute and Ludovic Blas levelled for Rennes just five minutes later.
Balogun was picked out by Eliesse Ben Seghir with a low pass on the edge of the box. He quickly turned and accelerated to lose his marker before finishing with a fine left-footed chip over goalkeeper Steve Mandanda.
Blas' goal was impressive too; a 25-metre strike that left Monaco goalkeeper Philipp Köhn no chance.
Georgia international Zuriko Davitashvili scored a hat-trick to lead struggling Saint-Etienne to their second win, 3-1 against Auxerre.
Saint-Etienne moved to 12th place, one point above Auxerre.
Also, Lille followed up their historic Champions League win against Real Madrid with another victory.
Davitashvili joined from Bordeaux this summer as Saint-Etienne prepared to return to the top-flight following a two-year absence. The highly-rated winger delivered two assists but failed to score in his first six matches.
A former powerhouse of French soccer, 10-time champions Saint-Etienne have struggled to readjust to the requirements of the elite and were trounced 8-0 by Nice last month.
Davitashvili put the hosts ahead in the 15th minute with a powerful strike that capped a fine collective move with Léo Pétrot and Mathis Amougou. He made it 2-0 after the interval and hit the post before Canadian forward Thelonius Blair pulled one back with his first goal this season.
Davitashvili kept his cool on the counter when he chipped the goalkeeper to achieve his hat-trick with four minutes left.
Lille were sluggish against Toulouse in the the first half but recovered to win 2-1 at home.
Toulouse deservedly took the lead in the 39th when Zakaria Aboukhlal broke the deadlock with an angled shot that was parried by goalkeeper Lucas Chevalier but crossed the line.
Chevalier, who was decisive against Madrid, made a crucial save in the 47th to keep Lille in the match before Angel Gomes levelled with the outside of his foot from Osame Sahraoui's subtly-chipped assist.
Up-and-coming midfielder Ayyoub Bouaddi then showed his class. On the counter, the 17-year-old midfielder beat an opponent with a two-touch dribble and delivered a laser cut through ball to set up Mitchel Bakker in the 75th.
Lille moved to fourth place, eight points above 16th-placed Toulouse, who slumped to a third consecutive loss.
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