Wilder was named manager yesterday after the Blades sacking of Paul Heckingbottom.
"It's an incredible challenge," Wilder said of the Liverpool game. "We can treat it as an FA Cup third-round tie. We're playing Liverpool at home, with nothing to lose. Contrary to opinion, I have great respect for Jurgen Klopp and what he's done; he's an absolutely world-class manager and a world-class team. It's not easy but as long as we give the performance right and give the supporters something to shout about, that's the key for me.
"I've been looking from a distance but for the majority of the home games, the supporters have made that shirt light for the players and really got behind them. And they've been close at times; everyone knows that. It's amazing when you speak to people about the covid season, when supporters weren't in Bramall Lane.
"I think that affected us more than any other club in the division. I would say that because it's my club and I know the difference they make and for me, they were turning losses into draws and draws into wins. Not single handedly, because there were 30,000 of them! And hopefully we can give them something to shout about again, in the forthcoming games."