I would be shocked if Man.Utd would spend the money to get Rodgers out of Leicester.
Before Leicester gave Brendan the extension to 2025, he had a release clause of 14 million, after the extension it was not mentioned, so either they increased that release clause or they have removed the clause.
This means that Man.Utd would pay to sack Ole, they would pay Leicester to get Brendan and then they would have to pay his salary, sounds this would be more money than they spent on the summer transfers this season.
After what PR said, I don't see any decent manager wanting to go Man.Utd, they have no control over who comes and who goes.
On another note, Southampton look good, I hope they can keep it up, the next games for them will be big, I hope they will come out of it successfully, they have had to deal with players/managers leaving to "bigger" clubs for a long time, this is good times for the team/fans.