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.