Zouma has also suffered a bout of Covid and has not played since picking up a hamstring tendon injury against former club Chelsea in December.
Both returned to training this week.
“We’ve had Covid like all teams and we have injuries as well,” said Moyes, ahead of the game.
“Tomas Soucek came back from Covid, we’re not quite sure yet if he’s ready so we need to try and assess that. Hopefully we’re not too bad and we’ll go there and try to do the best we can.”
Moyes will still be without Said Benrahma following Algeria's exit from the Africa Cup of Nations on Thursday.
Arsenal rushed back Thomas Partey to be involved with just a day between featuring for his country and his club. Partey was sent off late on in defeat to Liverpool and West Ham will not be taking the same risk.
West Ham starting XI: Areola, Coufal, Dawson, Zouma, Cresswell, Rice, Soucek, Lanzini, Fornals, Bowen, Antonio
Date: Saturday, January 22, 2022. Kick-off 3pm
Venue: Old Trafford
Referee: Jonathan Moss
West Ham squad from: Fabianski, Martin, Randolph, Areola, Diop, Zouma, Dawson, Alese, Baptise, Ashby, Johnson, Coufal, Masuaku, Cresswell, Longelo, Rice, Soucek, Kral, Vlasic, Yarmolenko, Fornals, Lanzini, Bowen, Antonio, Perkins.
Injured: Ogbonna (knee), Benrahma (AFCON)
Doubt: Noble (knee), Fredericks (knee)