Footage emerged on social media on Sunday of a number of stars partying alongside an 'Enzo I miss you' sign.
This clip emerged just hours after Steve Cooper was sacked as Foxes manager after just 15 games in charge.
First team players Conor Coady and Harry Winks can be seen standing up and dancing next to the big sign.
It is understood to have been the players' Christmas party and they headed to the Danish capital following their 2-1 defeat to Chelsea on Saturday.
The squad returned to training on Tuesday and it has been reported by The Telegraph that the owner confronted them over the video.
Read more on Leicester
Two ruled out and Ruud van Nistelrooy keen - Inside Leicester's manager search
Keown blasts Leicester players for Christmas party antics which included brutal message
He is said to have been unhappy with them as it 'smeared' the club's family image.
Martin Keown hit out at the players for the timing of their Christmas party trip.
The former Arsenal and England defender told White & Jordan: "I wouldn't have gone. And I wonder where the club message is.
"The players, you're not in great fettle at the moment.
Most read in Football
Hull sack manager after six months and with recently sacked Championship boss in the frame
Amorim given stark warning over his midfield as 'three must go' while perfect pair stay
Bellingham aims to emulate Gerrard as Liverpool take on Real Madrid, City in crisis
Simon Jordan: I was right about Chelsea, they are Liverpool's real title rivals
"Why on earth would you want to do that? Why are you travelling abroad?
"What's this desire for players to travel halfway around the world to go to these Christmas parties? I don't get it.
"If they want to do something locally as a group and get together and clear the air, perhaps.
"But to take off as they did, it's so very public. And I think that they can't afford to do it.
"Their focus needs to be on what they're doing now.
"We've seen it with [Marcus] Rashford, haven't we? New manager turning up... I'm in the gym.
"I can't wait for the new manager to come into town."
Leicester are 16th in the Premier League and just a point above the relegation zone following Cooper's departure.
talkSPORT understands that Ruud van Nistelrooy is a strong contender to take over.
Lee Carsley and West Brom's Carlos Corberan are also in contention.