The first chance comes tonight against the Ospreys and the Gunners chief is urging some of troops to stand up and counted in the absence of others.
"We're not happy with our position in the league at the moment," Bradley told The Scotsman.
"We didn't start well in the competition and so we need to play catch-up, but this is an opportunity for us and if we do our business correctly we'll have a good day and we'll build from there.
"Everybody is missing players and this period presents different challenges to coaches and players, but I actually enjoy these games because you get to see other guys playing, guys who have been knocking on the door saying 'why aren't you picking me?' who will get the opportunity in the next four weeks.
"We have four matches coming up now and we've said to the boys that we don't want to fall off in our level of detail, building from the attention to detail at the breakdown, efficiency levels at first phase and execution of strike moves, and that's the formula going forward for us for the four weeks."
The Ospreys however have fared worse with international commitments, travelling to Murrayfield short of a staggering 19 first-teamers.
A win for Edinburgh tonight would complete a nice double for Scottish sides over Welsh opposition - Glasgow defeated the Scarlets 19-9 yesterday evening - before the national teams do battle on Sunday afternoon.