Almost a chance for Palace as Michael Olise flicks a pass towards the box but Odsonne Edouard can't get a good enough touch to create a shooting chance.
The last time Manchester United failed to win a competitive game, Lionel Messi had never won a World Cup.
United try to hit Wout Weghorst with a long ball early doors but it's headed away.
British billionaire Jim Ratcliffe's firm Ineos has officially stated an interest in buying Manchester United.
United's owners the Glazer family said in November that they were considering selling the club as they "explore strategic alternatives".