"Pat's have progressed by taking their chances, something which Shamrock Rovers and Sligo Rovers have lived to regret this year, and if they can keep up that ratio in front of goal, then you have to give them hope," Cawley told RTE.
He continued: "Possession is the name of the game in Europe and Pat's are argubly the best at it in our league.
"They will need to be brave and courageous when in possession and impose their style on the Germans. It will hopefully lead to opportunities for Christy Fagan and some of the midfielders that have really shone recently like John Russell and Chris Forrester."
Despite being impressed by the Saints' attacking game, Cawley stressed the importance of not conceding a goal at home, as well as the need for luck.
"They will also need to be defensively sound and it's imperative they don't concede at home to have any chance. It is a tall order but not beyond them.
"On top of all this you need a little bit of luck. Nobody gave Shamrock Rovers a prayer last year against a big name like Partizan Belgrade but they rode their luck and grasped every opportunity that came their way. Pat's can do something similar," added Cawley.
Liam Buckley's side must play the tie at Tallaght Stadium rather than their own Richmond Park due to Uefa regulations, but Cawley says that the Inchicore side will have 'tremendous' support regardless.
"It is a shame they have to play the home tie away from Richmond Park on Thursday but they'll have tremendous support and hopefully they make it a memorable night in the history of the club," he said.
"They have a chance and while I'm sure Liam Buckley and his players are under no illusions as to the task in hand, their style of play is suited to European football and they've shown that in the last two matches," he added.
St Patrick's Athletic host Hannover 96 at Tallaght Stadium in the Europa League Third Qualifying round on Thursday August 2. Kick off 19.45 BST
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