Cresswell missed Monday's victory over Southampton with a minor injury but was brought back for the visit of Jurgen Klopp's side in place of Carl Jenkinson.
Elsewhere, Alex Song and Mauro Zarate dropped to the bench as Manuel Lanzini and Andy Carroll - who scored the winner against the Saints - came into the starting side.
For the visitors, Klopp made two changes as Lucas Leiva and Jordon Ibe were brought in and both Jordan Henderson and Adam Lallana missed out. Lallana was named among the substitutes, while Henderson sat out with injury.
West Ham: Adrian, Tomkins, Collins, Ogbonna, Cresswell, Lanzini, Noble, Kouyate, Antonio, Valencia, Carroll.
Subs: Randolph, Song, Zarate, Jenkinson, Obiang, Jelavic, Payet.
Liverpool: Mignolet, Clyne, Lovren, Sakho, Moreno, Can, Lucas, Ibe, Coutinho, Firmino, Benteke.
Subs: Toure, Lallana, Allen, Brannagan, Bogdan, Smith, Randall.
