With the Whites trailing to a Marc Albrighton first-half goal, Hangeland left it until the final minute of added time to head home Danny Murphy's well placed free-kick.
The goal sparked ecstatic scenes in Craven Cottage but speaking soon after the final whistle, Brede gave an even-handed assessment of the match.
"To be fair to Villa I thought they played really well today," he told fulhamfc.com. "We didn't come near our best levels so I can understand how they feel when they are one-nil up just before the end of the game and we get one back.
"Obviously it's the best time to score, just before the end of the game. I thought we battled well but we didn't play well especially in the second-half, that's something we need to look at and see why we didn't do as well as last week against Wigan.
"It was a little bit too hectic at times. We didn't manage to get the ball down and control the game and play our football. That's credit to Villa, they did really well today and I thought some of their young players didn't look too bothered playing in the Premiership.
"When you're a goal to nil down five minutes from full-time it's always a good feeling to be able to get something from the game. It's important not to get beaten because it looks like the league is going to be tighter than ever this season. Any result, at the end of the day, is something you can move on from."