The free agent’s one-year contract will keep him with the Wolves until the summer of 2023.
The Reds have been beset by strings of positive COVID-19 tests.
The domestic schedule is coming under huge pressure, with the impact of the Omicron variant of coronavirus sweeping through dressing rooms.
Chelsea needed a penalty shootout for the second round to progress into the 2021/2022 League Cup quarter-finals, with a 4-3 win over Southampton after a 1-1 draw at Stamford Bridge.
Nasri played for Manchester City, Arsenal, Marseille, West Ham and other clubs during his career.
Pep Guardiola has now coached teams to fourteen victories out of fifteen finals he has played.
Manchester United have now lost at the semi-final stage in their last four Cup campaigns.
Tuesday’s League Cup third round match between Leyton Orient and Tottenham Hotspur has been postponed after a number of Orient players tested positive for COVID-19, the Football League has said