The 22-year-old has made 17 appearances across all competitions for the German side so far this season, registering two assists.
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Nottingham Forest were keen on strengthening their left-back position following the departure of loanee Oleksandr Zinchenko.
Speaking in his first interview for Forest, Netz said: “I am ready for a new challenge and the next step in my career.
“I am extremely motivated to get started here and am incredibly excited about the first training sessions and matches at the City Ground in front of our fans.”