Teenage prospect Hudson-Odoi has grown restless at Stamford Bridge and handed in a January transfer request amid offers from German champions Bayern Munich.
The 18-year-old, who has yet to start a Premier League match, seized a rare opportunity by scoring the Blues' final goal in Thursday's 3-0 Europa League victory over Swedish club Malmo, wrapping up a 5-1 aggregate success.
But manager Sarri has called for patience, explaining that he would need to allow Pedro, Willian or Eden Hazard to depart to accommodate Hudson-Odoi regularly.
"You need to understand that, in the same position, we have Pedro, Willian and Hazard," said Sarri. "I want to remind you that Callum, with this one (against Malmo), played 14 matches.
"There isn't in England another 18-year-old player with 14 matches in the first team. So I think that we are using him in the right way at the moment.
"Of course, the 20 matches this season will be 30 matches in the next, and 40 in two years.
"If I am at the club and I want Callum to play consistently, I have to sell another winger. Otherwise the manager is in trouble."