Laudrup held court for almost an hour at a Heathrow hotel on Tuesday, when he hit out at what he termed as "silly" and "incredible" reasons given by Swansea for parting company with him.
It came two weeks after Laudrup departed the Liberty Stadium and former club captain Monk was installed as head coach.
Laudrup is pursuing legal action against the Swans, but Monk has no intention of being deflected from preparing his players to face Europa League last-32 opponents Napoli on Thursday night.
"I have seen bits and bobs of what was said, and basically what I took from it was that he (Laudrup) couldn't answer most of the questions for legal reasons, so there was no real point in having it," Monk said.
"If you call and have a press conference like that, you should be able to say what you want to say.
"It's not my problem, it's between the club and the chairman and the solicitors as it is apparently. We will just get on with it and move on.
"It was strange as well as I have never seen a manager lose his job and then two weeks later have a press conference about it. I don't think I have ever seen that, but if that's what you choose to do, you choose to do (it).
"It's nothing to do with us. We have to move on."
Monk, meanwhile, faces the biggest test of his fledgling coaching career when Italian heavyweights Napoli arrive at the Liberty Stadium.
While Monk's coaching reign has spanned just three games since he succeeded Laudrup in the Swansea hotseat, Napoli boss Rafa Benitez's record is one laced with success and silverware.
"Of course, I never expected to be in this position," Monk added.
"I was a player going into training one moment, then taking charge of games we have had already like the (south Wales) derby and now against Napoli, so it's a whirlwind.
"But I am prepared. I am a level-headed lad, I know what I want to do.
"Napoli are one of the best teams in Europe. I have seen a lot of their games and studied them. They have good players all over the pitch.
"At this moment in time they are one of the most powerful clubs in terms of what they can spend and the quality of players they have, so we are in for a tough time but it is a game we are really looking forward to."
Swansea have beaten Cardiff and drawn at Stoke in the Barclays Premier League since Monk took charge, with their solitary defeat being last Sunday's FA Cup fifth round loss against Everton.
Monk made a number of changes for the Goodison Park trip, and while it is likely he will revert to a more familiar line-up against Napoli, there will be no return from injury for star striker Michu following ankle surgery in December.
"It's been difficult," Monk said. "He came back into training, but he is still feeling soreness. We had to pull him out of training and he has to have an injection.
"It's nothing serious, but he needs two days' complete rest and we can build him up. He won't be available (on Thursday), which is disappointing for him and us. He was eager to get out there, but sometimes you can push yourself too much.
"Whatever team is picked is one I think can win the game. When a new manager comes in it is a fresh slate, and I've said there are so many games everybody will play, and that's the truth. I can only pick a side which I think can win a game, and that will be the case on Thursday.
"The priority is staying in the Premier League, that is fundamental for the club, but nights like this don't come around very often.
"We are up against a very good side, but we believe in ourselves and we will let them know they are in for a game."