The 18-year-old appears to be breaking into Chelsea's first team, after making appearances in the Europa League, and more recently in the Premier League and FA Cup.
Sarri said: "Odoi in the last week has been very normal".More news: Karolina Pliskova launches fightback to claim Brisbane crown
Now the Bundesliga champions have come in with a fourth bid of £35 million and, according to Goal, they've promised the player he'll be given the number 10 shirt if he joins them. He has a very great future here in England, with the national team and Chelsea.
"To stay here is better for him", Sarri said.
The Bavarians' commitment to signing the 18-year-old has played a big part in the move. Of course we have very important players in the same position and I can play with only two wingers.
He has insisted he will not sign a new contract and wants to play in the Bundesliga. "Some times he will be on the bench but I think I can start to consider him on the same level as Willian and Pedro".More news: Conor McGregor Demands Fight With Floyd Mayweather's Last Opponent
"But when you're getting wanted by the manager to stay at the club, and the manager at your current club doesn't have a say on the future, I just find it absolutely baffling".
"He is very young but he is improving, especially in the defensive phase". I am really very happy with him.
Writing in the Daily Mail, Martin Samuel has pointed out that Hudson-Odoi shouldn't wait patiently for his opportunity at Chelsea, because not one of the club's other academy prospects has ever won a regular starting place in the Roman Abramovich era.More news: Oil climbs to 3-week high as trade talks fuel demand optimism