The Reds signed the 22-year-old goalkeeper from Mainz on Tuesday and have immediately handed him the number one shirt.
When asked if he wants to become first-choice at Anfield, Karius told LFC TV: "Of course, otherwise I wouldn't make the move, if I thought I was just going to sit on the bench.
"I want to play and I feel like I will be able to do that if I do well in training and pre-season and the pre-season games. I'm confident.
"I've played almost 100 league games in Germany, so I'm young but I'm experienced. I'm not afraid of anything.
"I want to be in goal and play for Liverpool every week. And then win a trophy with the club, that's what everyone wants. I want to do my part and help."