Glasgow's 33-26 win over the French giants is one of the biggest upsets in Heineken Cup history.
Sean told the BBC: "We knew we had a chance as we just lost at home 22-16.
"We thought, if we could frustrate them, they have an ability to implode and they started arguing with each other, which was good for us.
"They're a fantastic team, there's no doubt about that, but we had a game plan to run it from deep.
"You don't want to give Toulouse the ball because they're very dangerous from counter attacks and they love running with the ball.
"But the guys played with tremendous spirit, the defence worked, and I'm delighted with the players.
"You have to have a bit of luck and a neutral referee and Wayne Barnes was certainly that."
The Glasgow coach praised a number of individual performances, including stand-off Dan Parks, who was only recalled to the side as a late replacement for Ruaridh Jackson, who had failed to recover from a thigh injury.
"Dan's gone through a rough patch over the last year or so, so it was great to see him come through," added Sean.
"He scored a drop goal just before half time and he also slotted over a couple of penalties.
"But flanker John Barclay's been outstanding all season for us and Thom and Max Evans too, but it was a real team effort."