McCall's side face the Highlanders on Wednesday just three days after they suffered a penalty shoot-out defeat to the Dons at Celtic Park.
Well trail Aberdeen by three points in the race to finish second in the Scottish Premiership and a win against John Hughes' men will boost their chances.
McCall said: "Caley had the game last week against Hibs and then they have had to go through the heartbreak of extra-time and penalties in the final - if I'm being honest that's what I wanted to happen.
"We are trying to gain every little bit of advantage we can."
However McCall does not expect Inverness to suffer a cup final hangover.
He said: "They will be ready come Wednesday, there's no doubt about that. They have got too many good professionals in their ranks.
"They have 11 games left and will be doing everything they can to finish in a European slot.
"It's something they have not done before but I don't think there will be a psychological reaction given the fact they have got a group of experienced professionals who have done terrifically well for the club."