Holloway left Blackpool just five weeks ago to take charge at promotion-chasing Palace and his new side appeared on course to claim three points when Glenn Murray and Owen Garvan overturned Nathan Delfouneso's first-half opener but Dicko stepped off the bench to level, prompting exuberant celebrations in the visitors' dug-out.
The Palace manager said: "They were delighted at the end but I didn't like the reaction of one of the men on their bench. One of the new fellas looked straight at me when they equalised.
"It's a war out there and I carried my shield very proud.
"He didn't stare me out - no one can stare me out. I know Michael wouldn't have done something like that, he's got more about him than that. But I didn't look round at them when we scored, did I?
"It was not easy to play down the emotion, I was at Blackpool a long time and had great times.
"But you have to move on. I heard them singing 'What's the score?' to me when they were winning - but that wasn't happening when we were 2-1 up!"
Blackpool manager Appleton - now unbeaten in six games since succeeding Holloway - dismissed his opposite number's concern.
He said: "I was probably celebrating when the goal went in. But you're talking about looking at people - what are we supposed to do, keep our heads down?
"I think maybe Ian was being a little bit tongue-in-cheek."