Hodgson guided the Three Lions to World Cup qualification on Tuesday night thanks to a 2-0 win over Poland.
Lancaster now wants the veteran manager to watch his team in action when they take on Australia, Argentina and New Zealand.
"Hopefully Roy will come into camp and we'll have a chance to chat," he is quoted as saying by BBC Sport.
"I've spoken to him a couple of times in the past. We'll certainly invite him to our games and hopefully he can enjoy them without worrying about the result."
England play their first Autumn International on November 2 when they host Australia.