The France international allegedly fumed at coach Didier Deschamps after learning he would not be a starter in his side's 1-0 defeat to Olympiakos in the Champions League on Wednesday.
Gignac came on as a second-half substitute against the Greek giants, but Marseille have now decided to take disciplinary action against the 25-year-old.
"Due to an improper reaction from Andre-Pierre Gignac towards Didier Deschamps right after the announcement of the starting side for the Champions League match between OM-Olympiakos, the Olympique Marseille board has decided to put the attacker at the disposal of the reserve squad until next Tuesday," a club statement read.
The news comes as the latest blow to Marseille, who have endured a dismal start to the campaign.
Deschamps' side are currently 10th in Ligue 1, 12 points off the top of the table, while they are second in their Champions League group, with progression to the last 16 yet to be guaranteed.
Gignac, who joined Marseille in the summer of 2010, has so far made 12 appearances this season, but only two of them as a starter.
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