The duo have both received their first call-up for the national team for the upcoming friendly with Sweden, and Osman said that Zaha looked bright in training.
"We have all been hearing for about a year now how well he's been doing in the Championship," said Osman. "He's certainly been on everybody's radar.
"He trained this morning, was direct and skillful and was committing people. He looks the real deal."
Zaha is also eligible to play for the Ivory Coast.