The Blues youngster, who was blocked from joining Bayern Munich in January, was an unused substitute last night.
Sarri instead bizarrely brought on right-back Davide Zappacosta for Cesar Azpilicueta with eight minutes to go.
A picture of Hudson-Odoi giving his boss "daggers" has since gone viral.
Martin Keown branded Sarri "stupid" for the dodgy sub.
The Arsenal legend, co-commentating on BBC, said: "He’s [Hudson-Odoi] probably wondering isn’t he.
"I mean they’re two goals down and he’s put a defender on.
"Is it a politcal move from the manager because it’s a stupid one if it is."
Chelsea fans, who chanted "f*** Sarri-ball" and "you're getting sacked in the morning", felt for Hudson-Odoi, who has played just 19 minutes of football this month.
One tweeted: "If looks could kill!"
Another said: "I wonder why he wants to leave? ?"
Sarri says he has never experienced chants of "f*** Sarr-ball", but insists he is not worried about their reaction.
He said: "No, I am worried about the results. Not about the fans.
"I can understand the situation and our fans, because the result wasn't really good. We are out of the FA Cup, so I can understand our fans.
"But I am worried at the moment about our results.”
SunSport exclusively revealed Zinedine Zidane wants the Chelsea manager job – if the club match his terms and ambition.
He wants £200million plus sales from players to spend on a new squad, which could include the likes of Isco, Mauro Icardi and Kalidou Koulibaly.
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