The Scottish champions headed into the clash at Ibrox with so many injury problems, manager Walter Smith was unable to name a full bench.
Yet Rangers were still able to produce a convincing 2-0 win.
"It says a lot about the character," said Broadfoot.
"I don't think it's physical, it's more mental because it seems to be game after game after game. At a club like Rangers the demands are that you need to win every game.
"But I think we've got big enough characters in the dressing room, big players and experienced players, who can get us through it.
"We are going through a lot of games just now but if we come through this with mostly wins I think we will be okay come the end of the season."