"I always have a very good working relationship with the owners and I'm sure I will, moving forward," Pearson said.
"In an ideal world, I would rather the story not be out there. I had an interesting Sunday."
Leicester is owned by Thai businessman Vichai Srivaddhanaprabha.
Pearson is also under scrutiny following a bizarre incident during Leicester's 1-0 loss to Crystal Palace Saturday when he placed his hands round the neck of Palace midfielder James McArthur in a touchline confrontation. McArthur had slid off the pitch into the technical area and collided with Pearson.
"I got a bit scared, to be honest," McArthur told local newspaper The Croydon Advertiser. "These things happen and you see it quite a lot with managers and players throughout the game so I'm not bothered by it.
"I've collided into him and he said it was only a joke. So, I'll take it in that manner and we move on."
Leicester is four points adrift of safety with 14 games left of the league campaign.