Sancho dropped to the bench for Sunday's Premier League match against the Hammers but is back in the starting side for the League Cup contest in Manchester.
Solskjaer has made 11 changes from the weekend, with Dean Henderson, Eric Bailly, Alex Telles, Donny van de Beek and Juan Mata among those to earn spots in the side.
Anthony Martial, meanwhile, is given the chance to lead the line in the absence of Cristiano Ronaldo, who is not in the squad for the cup fixture against David Moyes's side.
Diogo Dalot and Nemanja Matic also featured in a rotated team, while Henderson makes his first outing of the campaign, having finally overcome coronavirus.
Bruno Fernandes and Mason Greenwood are among those on the bench, while there is also a spot in the squad for Phil Jones.
Manchester United starting XI: Henderson; Dalot, Lindelof, Bailly, Telles; Matic, Van de Beek; Lingard, Mata, Sancho; Martial
Empoli 
Udinese 
CSKA Moscow 
Rubin 
Slovan Bratislava 
AC Milan 
Sparta Praha 
Atletico Madrid 
Valencia 
Barcelona 
Stade Brestois 29 
Bayer Leverkusen 
Red Bull Salzburg 
Bayern Munich 
Paris Saint Germain 
Inter 
RB Leipzig 
Manchester City 
Feyenoord 
Sporting CP 
Arsenal 
FC Rostov 
Spartak Moscow 
Aston Villa 
Juventus 
Celtic 
Club Brugge 
Dinamo Zagreb 
Borussia Dortmund 
Liverpool 
Real Madrid 
Monaco 
Benfica 
PSV 
Shakhtar Donetsk 
Lokomotiv Moscow 
Dinamo Moscow 
Anderlecht 
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Viktoria Plzen 
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Nice 
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