Eventually, Zaha stayed. But Hodgson admitted that it could have gone the other way.
Reports in England suggested that Palace had agreed to talk about the possibility of a transfer with Zaha in the winter.
"With Wilf, I don't think anyone was thinking we definitely must block him because we want our best player still with us," Hodgson said to reporters.
"We understood that if a really big offer comes his way and a much bigger club than Crystal Palace want him, and he is desperate to go, we are going to have to try and do some kind of deal."