"Zlatan Ibrahimovic played the whole Euro qualifier against Montenegro yesterday. That was the main expectation and goal for his contribution. That's why he won't play against France on Tuesday and will leave the group today," the association wrote on its website.
Ibrahimovic recently recovered from a heel injury that prevented him from playing Sweden's previous Euro qualifier victory against Liechtenstein and the 1-1 draw with Russia, both in October.
The game against Montenegro on Saturday ended in a 1-1 draw.
Sweden kicked off their Euro 2016 qualifying Group G with a 1-1 in Austria in September.