Klopp focused more on Burnley strikers Ashley Barnes and Chris Wood as he was not pleased with he officials for allowing them go unpunished with their harsh tackles in the game.
Despite Burnley appearing too aggressive, Liverpool defeated them 2-0 at Anfield.
Feeling uncomfortable by the attitude of the Burnley team, Klopp said he was "not 100 going in the right direction with these kind of decisions" and recommended the need to protect players.
Responding to accusation by Klopp, Dyche who was not unhappy with his fellow manager for aiming a dig at his team stressed;
"My disappointment is he is name-checking players. There is absolutely no need to do that," Dyche told reporters on Monday.
"We have professional players who have worked very, very hard in their careers to get to where they have got to.
" The implication of them being untoward in some of their challenges I think is wrong, I think it's inappropriate.
"My overview would be: I'm not worried about protection of players, because I think players get protected to a level that is unbelievable in my history of the game - and rightly so in some cases, I must say.
"My worry is that he is questioning that a team shouldn't do everything they can to win a game within the laws, which we clearly did, because there wasn't a single card."
When quizzed on Klopp's view that fans should "watch wrestling if you like these kind of things", Dyche said: "That's up to him. His comments are what they are.
"That's not up to me. (People can) use whatever words they wish to describe whatever they wish, and see fit to do so."
