Ibrahimovic is on loan to Lazio until the end of the season, with an option to buy in June.
Lazio can sign the youngster for eight million euros, with Bayern retaining a buyback option of twenty million euros.
Ibrahimovic will wear the number 27 shirt.
Lazio announced: “SS Lazio announces that it has temporarily acquired, with a purchase option and a counter-purchase, the rights to the sports performances of footballer Arijon Ibrahimović from FC Bayern Munich.”