Craig Morgan and Ben Pringle have rejected new contracts at Rotherham and will leave the club on free transfers.
Saido Berahino can leave West Brom "if the deal is right", says manager Tony Pulis.
The 23-year-old has signed a deal with the Wolves until June 2018.
"We are delighted that Sebastian Jung has chosen to sign for VfL. He is a player with masses of sporting potential, who can really strengthen our team," Wolfsburg sporting director Klaus Allofs said on their official website.