Thistle have already suffered two heavy defeats to the Dons in the Scottish Premiership, shipping seven goals in those encounters.
Aberdeen have also managed to embark on a decent run in the League Cup, booking their place in the last four of the competition.
Archibald knows their opponents will be strong favourites for Sunday's fourth-round tie and he wants his players to perform without pressure and pull off a surprise win.
He said: "I don't think anybody is expecting anything from us this weekend.
"I think they probably expect Aberdeen to turn us over and they will be talking about Aberdeen going on another cup run.
"That's fine by us, but we've got to use that to our advantage."
Partick slumped to a 3-0 defeat the last time the sides met at Firhill in September, before suffering a 4-0 loss at Pittodrie earlier this month.
Archibald added: "We have learned from both games, especially the second game.
"We played a lot better but we didn't penetrate enough. We didn't work their goalkeeper enough in the first half.
"In the second half, we got closer to them but the game was out of sight by then."
Having lost their last four league matches, Archibald admits the cup will provide some much needed respite from the Scottish Premiership.
He said: "It's a welcome break away from the league to be honest. We look forward to the cup.
"We have tried to lift the spirits all week.
"We know the cup is something different, there is no pressure going into this game.
"It's a one-off game and we can have a go and try something different against Aberdeen."
Despite the run of poor results recently, Archibald has no real concerns about his side's form at this stage in the season.
He said: "We knew when we got promotion that we would have a blip and we would have runs like this. We are not surprised by it.
"In December and January, we've got a vast amount of games coming up, especially against the teams round about us.
"We've had a hard run against most of the teams at the top end of the league so now we need to start winning games whatever way we can."
Partick's chances of picking up a victory against Aberdeen could be made more difficult by suspension and injury problems.
Gary Fraser, Aaron Muirhead and Stuart Bannigan are all banned, while Sean Welsh, Stephen O'Donnell and Jordan McMillan are injury doubts.
Archibald said: "It is quite a list. It's a problem.
"To be fair to Jordan, he came through the game last week very well fitness-wise.
"He trained half the week and then got a back spasm yesterday.
"It's a bit of a blow and it leaves us short in that area with Stephen O'Donnell also struggling with a hip problem."