Whereas Edinburgh's hopes of qualifying from the pool are over, both of their opponents could still progress to the knockout stage but rather than throw in the towel, Bradley claims a couple of wins could restore some pride for his troops - and galvanise their stuttering RaboDirect PRO12 campaign in the process.
Having lost both of their domestic clashes against rivals Glasgow Warriors over the festive period, and their home game against Leinster last time out, the Gunners aren't back in league action until they line up against Munster again on February 9.
And Bradley intends to head into that game at Musgrave Park with a bit of momentum.
Bradley told The Scotsman: "If we beat Munster [on Sunday] that will give a completely different shape to our season and people will be asking 'what happened in season 2012-13' and we'll say 'well, we put Munster out of the Heineken Cup'.
"It might be a reverse of last year, where we beat Racing Metro in Paris at this stage, but it's still a statement and an opportunity for us.
"If we then go down and do the same to Sarries and really annoy everybody, then that's great. There's no point in putting the nail in the coffin quite yet.
"As a coach you're always vulnerable. There are no certainties in renewals of contracts and that will be a stock answer from any coach in the position I'm in.
"I'll just work as hard as I can with the boys. I've found it very challenging, but let's see what happens on Sunday."