Antony has been linked with a reunion with his former Ajax coach Erik ten Hag at Old Trafford but a deal between both clubs has failed to materialise.
Speaking to ESPN Netherlands on Friday, Schreuder said it is unlikely that the 22-year-old would leave the Dutch champions.
“I really think he will stay,” Schreuder told ESPN. “Of course, we have sold a lot of players now. That has not happened in recent years.
“We have also bought players. But we have sold so many players that I assume nobody will leave.”
When asked if he has agreed on a dateline to allow players to leave, he replied: “No, we did not discuss that. But we do talk to each other daily.
“I assume that no one is leaving. If we sell one more key player, it wouldn’t be good for us.”