The visiting captain was forced off with an injury after the half-hour mark, replaced by Declan Rice, but West Ham kept Stoke at arm's length and Arnautovic ought to have silenced the jeers rolling down from the stands on his return to the Potteries, but he was spurned one-on-one by Butland, who also kept out Lanzini's fizzing long-range effort. Mame Diouf and Xherdan Shaqiri have combined to score eight of Stoke's 19 goals.
The Potters' were made to pay for missed opportunities in the 75th minute as West Ham made it 2-0, with Arnautovic finally converting a chance. Otherwise it was the same Stoke side that lost 1-0 to Burnley in midweek.
Hernandez, therefore, could have a wait until he gets his chance to start again at West Ham and that could be bad news for Moyes.
Stoke enter their Saturday match against West Ham, two points ahead of the Hammers.
PV Sindhu beats Akane Yamaguchi, Kidambi Srikanth loses again
India has seen contrasting fortunes in the Singles category of the Dubai World Superseries Finals, from its two ace shuttlers. With the second consecutive straight-game defeat in the group stage, Srikanth is now out of the semifinals contention.
Arnautovic was jeered throughout the game after forcing a summer move to the Hammers, which moved above the Potters in the table with this win.
West Ham then nearly doubled their lead in the 39th minute after Marko Arnautovic broke through on goal on the right side of the field.
Unlike some players, Arnautovic celebrated when he scored and did not show any "respect" to his former club.
Once proceedings got under way, David Moyes' West Ham were sent on their way by a controversially-awarded Mark Noble penalty, which could result in retrospective punishment for Manuel Lanzini after he appeared to dive, and Hughes' mood was darkened further by goals from Arnautovic and substitute Diafra Sakho.
He left 'cos you're shiiiiiit...