"Of course there are similarities, but the most important thing is I'm Jan Siewert and I have to do it my way as David did it his way," Siewert said.
"We should not compare us two because that's not possible."
"I always did it my way so I can't be compared to David Wagner because he's a fantastic manager and had so much success here," Siewert said.
"But now it's my role here. It's a new chapter and the most important thing is that I'm used to working with professional players; at Dortmund I had some great opportunities and now I'd like to challenge myself."
Huddersfield are bottom of the Premier League with just 11 points and 10 points adrift of safety with 15 games left.
"We have to work hard and do our best. We have 15 games and we will give everything to have good games," added Siewert, whose first game in charge will be at home to Everton on 29 January.