Edinburgh are in top spot with two qualification rounds to go, beginning with the round five clash in Paris this weekend.
Bradley told the club's website: "It's a huge game for Edinburgh Rugby.
"We're in a great position in the group and if we win against Racing Metro and beat London Irish at home, that's a very strong statement from us.
"Hopefully it should be enough to qualify us as one of the leading contenders in the competition. The other way is also a reality.
"It's just an absolutely massive game for us. We need to start putting a bit of distance between ourselves and people who can qualify out of our group.
"We would be making a huge statement by winning in Paris on Friday night."
He added: "It will be hard to impose ourselves physically on this side but we have to do it. If we don't, we won't win.
"We will need to put pressure on them.
"We'll need to be careful with what we do with the ball but I think Edinburgh's ability to play rugby with a high tempo is going to be a key factor in the match."
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