The Dutch midfielder was presented with an opportunity to start in a central role but his night was cut short when he was hurt by a challenge from Marcos Senesi, who slipped on the greasy surface as he made the tackle.
The pain was etched on Donny's face as he was forced to exit the action, with Alejandro Garnacho taking his place before the half-time whistle.
Although it is still too early to tell the extent of the injury, Ten Hag expressed his concern during his post-match interviews.
When asked by MUTV's Stewart Gardner about any news on Donny, he replied: "No, that is too quick.