The Scot began his managerial career in style as Albion started the Premier League campaign with an impressive victory at home to the Reds last weekend.
Clarke, who carved out a stellar reputation as an assistant manager before making the step up to succeed Roy Hodgson at West Brom this summer, faces perhaps a sterner test still when he takes his team to face Tottenham at White Hart Lane on Saturday.
But he insists there is no part of him lamenting the benchmark his men set at the Hawthorns last week.
"We like to set ourselves big challenges," he said. "I've always said it's a crime not to push yourself to do as well as you can in any walk of life and that's what we try to do.
"We'll try to build on the performance and result last week and it's a difficult place to go but we'll relish the challenge. The players relish it as well, which is really good."
Clarke added: "It was good for the first couple of days after beating Liverpool and then you have to move on.
"The games come thick and fast and we've got another difficult one this weekend. But we've prepared well, we've worked hard again this week and hopefully we're in the same frame of mind going into this game.
"I said last weekend there will be many games where we don't feel quite so good after it and that is a different challenge. It's another challenge for me, I've got to face that, but I think I'm well prepared for those days as well."
Clarke has five strikers competing for places in his side with summer recruit Markus Rosenberg now fit and available, and he insists all can expect to feature in the campaign.
"I think over the course of the season every player in the squad has a part to play," he said. "It can be that in the early weeks some of the players get frustrated because they're not involved but they have to look at the bigger picture.
"The bigger picture is not the first three or six weeks of the season, it's the season in its entirety.
"The strikers are all different and bring in different characteristics. That's why I want to keep them all. I think the more strikers you've got, the more chance you have of scoring goals.
"If they are competing with each other for a place in the team then it means they are working hard every day in training every week to be in that team. If they are fighting for that then I think success will follow."