The 18-year-old once again failed to get some valuable minutes after he was left on the bench, with Davide Zappacosta preferred as a substitute instead.
Since blocking his move to Germany, Hudson-Odoi has played just 19 minutes of football, despite Chelsea understood to be desperate to offer him a new deal.
And Solskjaer was quick to go over to the youngster following the full-time whistle after he embraced Maurizio Sarri.
He shook the hand of the U-17 World Cup winner by the dugout, before he had a quick chat with him.
Solskjaer went straight up to Hudson-Odoi after the game last night. Wouldn't be surprised if he told him what a great talent he is. Plant the idea of a potential Man Utd move in his head. Play for a manager who'd actually appreciated him. Sack Sarri before it's too late, Chelseapic.twitter.com/vmstGSEq24— Jake Heasman (@jakeheasman) February 19, 2019