Ireland are hoping they can progress from Group D, despite the difficulty of the group.
They face a Swiss side that have not lost a competitive game at home in the last 15 matches.
But Coleman thinks that Ireland can bring that run to an end if they are at their best in midweek.
If the Irish win in Geneva, they are guaranteed a place at Euro 2020.
"We have to go for it," said Coleman to reporters after their disappointing 0-0 draw with Georgia.
"I do think we're capable of a big result, I've always said that. The game might dictate that you might sit back but we'll be going there looking for the win.
"You go into the game wanting to win and that won't change because of tonight's result.
"Playing for draws and stuff like that is dangerous anyway, so we always go out and try to win a game and Tuesday night will be no different.
"We're going to play a top team but I believe in the lads and if we can be a little bit more composed, we can get a result."