Former Everton striker Wayne Rooney applied the same tactics last week for Manchester United and was substituted, while Joey Barton came in for a barrage of abuse from Sunderland supporters as he did the same during his warm-up at the Stadium of Light last weekend.
Hodgson readily admits he is not a fan of badge-kissing and will tell his £10.5million signing to be wise back at Goodison Park on Saturday.
"It would behove us to mention it to Andy but I'm a football coach. I talk to players about their roles to help the team win," he said.
"It's a sad state of affairs when you have to tell players not to kiss the badge, or don't do this or don't do that. Perhaps it will behove us to do that.
"I'm not a great fan of badge kissing. We're mercenaries in football, there's no question of that.
"The days of badge kissing at Fulham died with the likes of Johnny Haynes and Jimmy Hill. I'm surprised if fans want to see it.
"They're not stupid, they know that players come and go and change clubs.
"They also know that when a player changes clubs he gives his 100% allegiance all of the time he's playing for them.
"I expect every player Fulham to have nothing but the club in his head. He doesn't need to kiss the badge to show me that."