Fenlon, who has been under pressure following the Edinburgh club's poor start to the campaign, was given backing from chairman Rod Petrie on Wednesday night.
But the Hibs boss is adamant he remains focused on turning his team's fortunes around in the coming weeks, and building on their first point against Dundee United last Saturday.
Asked if he felt reassured by Petrie's words, Fenlon said: "It's not relevant from my point of view, I have to be honest.
"I'm not just saying that. I've been at the club for 20 months and I've always had the backing of the club. That's the important thing.
"We're trying to move things forward and we are doing our best to do that.
"The chairman is a man of few words, as we probably all know. We have a decent relationship. We meet every week and discuss what's going on at the club, not just what's going on on a Saturday. There's lots of other important stuff that goes on.
"But the stuff on the pitch is at the top of the list and as a manager I know that you have to get that right. If you don't, the inevitable happens."