"For reasons I don't want to talk about, I don't want to talk about it," Pearson said.
Pearson has been under pressure for some months, brought on not just by his team's position in the Premier League but also by his two incidents where a usually calm, controlled coach lost his cool.
In December, the 51-year-old Pearson was handed a one-match ban for using abusive language in an exchange with a Leicester fan during a match. He refuses to apologize for his part in the spat.
On Saturday, Pearson was at the center of a bizarre incident during Leicester's 1-0 loss to Crystal Palace, when he placed his hands round the neck of Palace midfielder James McArthur after the player 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. "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."
Pearson, a tough-tackling center back in his playing career, laughed off the incident at the time and said Monday that sections of the British media had made "a mountain out molehill."
"The lad's OK and it was very light-hearted," Pearson said.
"Our owners are fine, as they were with the incident with the fan (in December). You're looking for news which is not there."
Leicester is four points adrift of safety with 14 games left of the league campaign, having won just four games in its first season back in the top division.
Peasron said he expects to be in charge for the rest of the season at Leicester, which is owned by Thai businessman Vichai Srivaddhanaprabha and his family.
"I always have a very good working relationship with the owners and I'm sure I will, moving forward," Pearson said.