Finnish entrepreneur Thomas Zilliacus also placed a bid on Thursday.
The 75-year-old succeeds Frenchman Patrick Vieira, who was sacked last week after a poor run of form left the team three points above the relegation zone.
Arsenal crushed Crystal Palace 4-1 to go into the international break with a solid lead.
Palace are the only Premier League team without a win in 2023, having drawn five and lost six of their games.
The league leaders posted a comfortable 3-0 win on Sunday.
The win moved City to 61 points after 27 games, two behind leaders Arsenal, who play Fulham on Sunday, and 12 ahead of third-placed Manchester United.
Liverpool's previous biggest win over United was a 7-1 victory in 1895.
Thomas Partey and substitutes Ben White and Reiss Nelson -- Nelson's arriving in the seventh minute of stoppage time -- sparked wild scenes of celebration.
Manchester City defeated Bournemouth 4-1 and trail Arsenal by 2 points but having played a game more.
Manchester United won 3-0 at Old Trafford on Sunday.