Groups responsible for putting up the flags have told the BBC they are motivated by pride and patriotism.
But others have said it feels provocative at a time when tensions are running high across England over the issue of immigration.
Cross said he respected the St George’s flag, but said they should not be painted on public sculptures.
“I am all for having flags on every building, but as for daubing with thick red paint I am totally against it,” he said.
“If you want to fly the flag, fly one on the top of your house.”
North Yorkshire Council was approached for comment.