Kyle Walker put Tottenham ahead with a free-kick that flew under the Manchester United wall, but his mistake from a Phil Jones cross saw Rooney pounce to level, and the game ended 2-2.
Kyle Walker will miss England's friendly against Chile at Wembley on Friday because of a minor injury.
Kyle Walker has signed a contract extension with Tottenham that will keep him at the club until 2019.
Kyle Walker admitted to "poor judgement" after photographs were published on Sunday showing the England defender inhaling nitrous oxide.
Tottenham registered a clean sheet against a rather non-threatening Crystal Palace squad.
Kyle Walker has withdrawn from the England squad with a fibula injury he sustained last Thursday in Tottenham's post-season exhibition match in the Bahamas.