Nagelsmann, whose sacking in March 2023 led to Tuchel's arrival, was tipped to return to Bayern, but has now extended his contract with Germany until 2026
It means Mbappe will miss PSG's Champions League quarter-final against Italian side Atalanta in Lisbon on Aug. 12.
"The results of today's scan confirmed an ankle sprain with damage to the external ligament. The player is expected to be sidelined for approximately three weeks," PSG said in a statement.
A rough tackle from Loic Perrin saw the St Etienne defender catch Mbappe on the ankle and the 21-year-old collapsed on the pitch in pain before being substituted.