The Million Pound Drop presenter will oversee the action as teams attempt to take home a cash prize, which could total £100,000.
Based around a 15-foot hourglass built inside the studio, teams must work together to complete five challenges in just five minutes to make sure that they win the cash and the money doesn't start to drain away.
"Five Minutes to a Fortune is one of those shows that has you clenching your buttocks from start to finish - I cannot wait to get started!" said McCall.
Tom Beck, commissioning editor for Channel 4 Entertainment, said: "Five Minutes to a Fortune is a hugely exciting new format fronted by the best host in the business.
"It's brilliantly simple to play, fiendishly difficult to win and simply gripping to watch. It's tense and exciting, funny and unique."
The teams on the show consist of two people, the Timekeeper and the Gameplayer. The Timekeeper decides the game categories and how long they'll play each game.
The Timekeeper will be able to pick categories that they believe will suit their teammate and will also be able to 'Freeze Time' - pause a game for 10 seconds - and 'Emergency Stop' - abort a challenge and replace it with a new one.
When the five challenges end, the roles switch and the Timekeeper must complete one final game to earn the money left in the hourglass.