Mike Williamson said he was "not interested" in talking about the risk of the sack after Carlisle United's woeful 5-1 defeat to Swindon Town.
The Blues head coach faced chants of 'Out, out, out' by furious fans after the defeat at Brunton Park.
Williamson, who appeared for post-match interviews more than an hour and a half after the game, said he had not yet spoken to Carlisle's hierarchy in the wake of the thrashing.
But he said he would fight on to try and turn things around.
Asked about the way out of the crisis for himself and the team, Williamson told the News & Star: "We've been through times like this and I know you're skirting around [the question], 'Are you going to get sacked?'
"That's not in my control and I'm not interested in talking about that. I'm interested in already watching the game back and looking at why, looking at answers.
"The lads need answers and I'm not criticising their effort and their desire but we're criticising decisions on the pitch.
"So that's the answers I'm looking for and that's it."
Asked if there had been any dialogue with United's hierarchy, he said: "Have I spoke to the owners since the game? Since the final whistle? No."
Williamson said he had no issue with the fans who chanted for his removal, with Carlisle bottom of League Two and still five points adrift of safety with 18 games to go.
He added: "I'm going to just keep working and doing everything I possibly can.
"The football club has been in a difficult situation for longer than I've been here. There's been a lot of trauma to the football club over that time.
"Obviously, we're fighting against a difficult feeling. By any means, I think the fans want to do everything they possibly can to get out of this. I understand it.
"I've got no qualms with them expressing their opinion, but it doesn't change my job."
On his feelings about the game, he added: "Just disappointment, just frustration, just anger and an array of emotion that is hard to really quantify and talk about because it's on the back of two really good performances.
"We start the game really well and we just get hit with a goal kick. We have two honest lads trying to go and win the ball, make a decision and we don't pick the second ball up and they go through and put it in the back of the net.
"So the frustration and disappointment I think speaks for itself."
