Shaun Wane brushed off Paul Anderson’s angry claims Wigan had pressured the referee during their tense 26-19 win.
Warriors trailed 12-6 at half-time but scored 20 points in the second-half to move top of the table.
But Huddersfield coach Paul Anderson claimed the referee had “succumbed to pressure” from the home side - leading to two sin-binnings and more penalties against his side.
Wane admitted John Bateman - captaining the side for the first time - had spoken to Cobb at half-time to seek clarification about the speed of the play-the-balls.
He explained: “John can do, as captain, he’s allowed to go and speak to the referee. Which he did.
“We were losing a second-and-a-half every ruck, and I just wanted to verify that - well, John did, so we did.”
Anderson, though, admitted he expected a fine - and didn’t seem to care - as he branded the episode as “disgraceful”.
“I’d just like an explanation at what changed the official’s mind on why he wanted to referee differently,” he fumed.
“I just want to know what changed the bloke’s opinion. I know what will happen, I will get a fine.
“I want to know what was said.”
He added: “The officials succumbed to pressure. I’ll cop a fine.”
Informed Wane had earlier said Bateman was permitted to speak to the official, Anderson replied: “Yeah, the captain can - read into that what you will.”
The victory moved Wigan two points clear at the top, though Warrington and Catalans are yet to play.
They were indebted to Matty Smith’s two drop-goals - sandwiching a Danny Brough one-pointer - during a tense, seesawing finish.
Dan Sarginson then sealed the victory with a try in the final seconds.
Wane said: “For neutrals it must have been exciting, for me it’s just more grey hair!
“Ugly or not, it was two points against a good side.
“Huddersfield were in a false position, I wasn’t falling into the trap of seeing them as being bottom of the ladder.”
Smith’s two drop-goals moved him ahead of Andy Farrell, onto 20, on the club’s all-time list.
Wigan were still without eight frontline injured players including six England internationals.
Reserves forward Nick Gregson continued as a makeshift stand-off, and Wane added: “I can’t see how anyone finds fault with that.
“Just to grind a win is pleasing.
“The spirit we showed to get the win, when you look at who’s not playing, we’re in good shape.”