The youngster wants to quit Stamford Bridge for Bundesliga giants Bayern Munich.
But Chelsea have rejected a number of offers for Hudson-Odoi, the highest in the region of £35m.
Bayern see the 18-year-old old as a successor to former Blues winger Arjen Robben.
Sarri refuses to admit defeat and has publically pleaded with the star to show some respect by staying at Chelsea.
“Callum is 18,” Sarri said. “He has to respect the club, the academy, everything.
“He has time. If you are one of the best young players in Europe, maybe the academy helped you.
“So you have to respect this. Of course, he’s a very great player.
“He will become one of the best in Europe also in another team, but he has to respect the work of the academy coaches, I think.”
Eden Hazard has also spoken about taking up a new challenge, namely joining European Champions Real Madrid.
“The situation of Eden is different,” Sarri insisted. “Eden is 28. If he wants to go, I think he has to go.
“Of course, I hope the opposite. I hope he wants to stay here with us and improve.
“He has the potential to be the best player in Europe a the moment.
“Sometimes he’s happy with something less. It’s my job to improve him and put him in a position to do his best.
“Sometimes I have to say something in the pressroom on that. It’s normal. It’s my job.
“But I was really very happy with the last performance [against Tottenham].”