After being informed of a positive COVID-19 result on Friday (AEDT), Monaco attacker Ben Yedder did not participate in training and began his period of isolation.
France has not called up a replacement ahead of its meeting with Portugal in Lisbon and home game against Sweden.
Ben Yedder posted on Twitter: "Thank you for your messages… a lot of disappointment of course but I trust the team to do the job. Above all, protect yourself and pay attention to yourself."
Les Bleus are level on points with Portugal in Nations League Group A3 but sit second due to an inferior goal difference.
Didier Deschamps will be hoping his side can bounce back from a shock 2-0 loss to Finland on Wednesday when it takes on the European champion.
Ben Yedder played 57 minutes from the start in that match but failed to register a single shot on target or create a chance for a team-mate.
Monaco is due to face Ligue 1 leader and defending champion Paris Saint-Germain at the Stade Louis II next Saturday (AEDT).
Only Kylian Mbappe (seven) and Boulaye Dia (eight) have scored more in Ligue 1 this season than Ben Yedder's six goals.
Ben Yedder has had a hand in 29 goals (24 scored, five assisted) since the start of the previous top-flight season; only Mbappe has been involved in more goals (25 scored, nine assisted).