The meeting between the two countries is the first since a previous friendly in Dublin was abandoned when England followers started rioting at Lansdowne Road.
Hodgson believes the England support has improved vastly in recent times, but the FA is concerned about alleged misbehaviour in the recent World Cup qualifier in San Marino.
"As much as we all want to win, respect for the game and for our opponents is paramount," Hodgson said in his programme notes for Wednesday's match at Wembley.
"This game is no different and I strongly urge everyone in the ground to show each other respect and not to chant songs that could be regarded as insulting to others - particularly from a religious or political perspective.
"I hope everyone bears that in mind, and every time we come to support our national team.
"In my time as England manager the support this team has received at home and abroad has been nothing short of fantastic."