The Scotsman had ten first-team players unavailable for selection, including attacking threats Marko Arnautovic and Manuel Lanzini.
Mark Noble's late first-half penalty cancelled out Christian Benteke's earlier goal for Palace.
"I was pleased with a point because of the amount of key players we had," said Moyes.
"Crystal Palace have probably been the form team outside the top six. Every club has injuries, it's a chance for other players to show what they can do."