Germany coach Joachim Loew is unlikely to tinker with his three-man backline but their attack showed only brief signs of life against France.
Loew is not in danger of losing his job after they were thrashed 6-0 by Spain in their final Nations League group match on Tuesday, Bierhoff has said.
Werner is fully fit for their Nations League game against Switzerland on Tuesday.
Eight of his 23-man squad are still eligible for national youth teams, including 19-year-old Kai Havertz, Loew said.
Germany coach Joachim Loew is not planning to call up world champions Jerome Boateng, Mats Hummels and Thomas Mueller any longer, saying the team needs to look to the future.
It is the first time since 1938 that Germany leaves the World Cup from the first round.
Loew said he was "very grateful for the confidence that the DFB continues to place in me."
Germany head coach Joachim Loew on Friday fired back at criticism from Sandro Wagner, who retired from international duty in mid-week after being left out of the extended World Cup squad.
Gianluigi Buffon, Georgio Chiellini, Daniele De Rossi and Andrea Barzagli announced their retirement from the national team.