The Murrayfield outfit are yet to secure a victory in Europe this season, sitting bottom of Pool 1, but Bradley wants to end their foray in Europe on a high note.
Bradley believes they can take heart from their performance against Munster last Sunday, albeit a 26-17 defeat, and is targeting an upset against Saracens.
"After the Munster match I was talking to their lads and they said we hadn't given them any opportunities early in the game to pick us off, and that was the intention," Bradley told The Scotsman.
"It was 12-3 at half-time and the critical moment in the second half came when we were attacking and we coughed the ball up and they counter-attacked down our half.
"We made a mistake and Greig [Laidlaw] got binned, and they got tries in that period.
"That came from a turnover and it was probably the only time we did that in the game, but that's how dangerous Munster are and Saracens are similar.
"If you have opportunities obviously you go for them, but you have to play the game in the right areas and not make it easy for the opposition.
"That was the Munster game-plan and it will be the Sarries game-plan as well. Once they get over seven points then they'll look to cut loose.
"The challenge for us against Sarries is to get ahead and stay ahead, which keeps them under pressure.
"If we can avoid giving Sarries soft tries and take our opportunities and get ahead then they will feel the pressure - they have a way of playing the game.
"If they get ahead then it will be difficult to get them back, but if they go behind they get agitated, frustrated and very one-dimensional. That's our challenge this weekend."