City have won each of their six Premier League fixtures at home, but Laudrup has insisted that he will instruct his side to play without fear against Manuel Pellegrini's team.
The 49-year-old told Sky Sports News: "City are the best home team in the league with 26 goals in six games so we know that it will be a tough afternoon, but we can only surprise people there.
"Everybody expects City to win by a few goals because they've done that against everybody including Manchester United and Tottenham. So I think that we will go there to do the best that we can to get something out of it, and whatever happens, we will still present a competitive team.
"You can't play with fear in football. There is a lot of respect, you have respect for everybody, the ones on top and at the bottom, but never fear."
Swansea have one of the better away records in the league, taking nine points from six matches.