Monaco moved to the top of Ligue 1 after coming from behind to beat Angers 2-1 while Lyon were upset by Lorient.
Mario Balotelli scored twice as Nice beat Monaco 4-0 to go top of Ligue 1, while there were also wins for Lyon and Bordeaux.
Thomas Lemar fired a late double as Monaco moved three points clear of PSG at the top of Ligue 1 with a 3-0 win against Rennes.
Mario Balotelli scored twice on his debut to inspire Nice to a 3-2 win over Marseille.
Burnley's attempt to sign Kamil Grosicki was torpedoed by his club Rennes who demanded more money at the last minute, according to Sky sources.
Alexandre Lacazette was forced off with a knee injury as Lyon slipped up to Dijon, while Nice were held by Lille.
Gabriel Boschilia's strike gave Monaco a 1-0 win at Nantes on Saturday.
Nice and Rennes joined together on Sunday to pay tribute to the 85 killed in the Bastille Day terror attacks.
Alexandre Lacazette scored a hat-trick as Lyon started their Ligue 1 season with a 3-0 win at newly-promoted Nancy on Sunday.
Rennes forward Ousmane Dembele is not interested in a summer transfer to Premier League champions Leicester City.
Ibrahimovic won the award, voted for by his peers, ahead of Angel Di Maria, Hatem Ben Arfa and Lassana Diarra.
Lyon secured a Champions League place for next season after thrashing Monaco 6-1 at Parc Olympique Lyonnais.
Monaco missed the chance to return to second place in Ligue 1 after conceding a late goal to draw 1-1 at Rennes.
Monaco beat out-of-form Marseille 2-1 at Stade Louis II to move back into second place above Lyon in Ligue 1.
Former Arsenal midfielder Abou Diaby made his first competitive appearance in nearly 18 months for Marseille on Friday.
Rennes recorded an emphatic 4-1 victory over Nantes on Sunday, while Lyon went one better with a 5-1 win over Guinhamp.
Former champions Montpellier moved further clear of relegation trouble in Ligue 1 on Saturday with a 3-0 win against Lille.
Lyon finished with nine men in a narrow defeat at Lille, while Michy Batshuayi struck late to rescue a point for Marseille.
Saint-Etienne moved into fourth place in Ligue 1 after a 4-1 victory at Bordeaux on Sunday.
Crystal Palace are bottom of the Europe-wide form table - and only one Premier League team makes the top 10.