Markus Kauczinski's men fell on hard times following their relegation from the Bundesliga in 2008/09 and spent last season in the 3.Liga after taking another tumble down the leagues.
However, they bounced back straightway to win promotion back to the second tier last term and will be eager to claim a Bundesliga scalp when the cup competition gets under way.
Although the alarm bells are ringing slightly for Hecking, he sees no reason why his team should be on the wrong end of an upset on Saturday.
"I think it's up to us and how we approach this game," he told Wolfsburg's official website.
"Because with all due respect, and with all due respect to Karlsruhe, we go there as a Bundesliga club and with a very clear objective of reaching the next round."
Hecking also sounded a word of caution though, saying: "It can be expensive to underestimate opponents in the first round of the cup.
"I had to deal with this painful experience myself last year with Nurnberg in Veenhusen.
"Every professional club should be warned that anything is possible in a match. The gap between divisions has narrowed in recent years."
Werder Bremen general manager Thomas Eichin also warned of the dangers of facing lower league opposition as his team prepare to take on third-tier Saarbrucken.
Bremen fell at the first hurdle in last year's competition, losing in extra-time to Preussen Munster, and Eichin does not want to see a repeat of that on Sunday as they go in search of their first cup title since 2009.
"It is difficult against a third division club, much more so than before, because these teams are well managed," he told Kicker.
"I have no doubt it will be a difficult task but we need to overcome it as a top-flight club."
Bayern Munich will begin their title defence on Monday night at fourth-tier Rehden, with Pep Guardiola's men aiming to put the disappointment of losing the German Super Cup to rivals Borussia Dortmund behind them.
On the same night, Schalke travel to Nottingen while Jurgen Klopp's Dortmund begin their DFB-Pokal challenge at amateur side Wilhelmshaven on Saturday.
Also on Saturday, Hoffenheim travel to Aumund-Vegesack, Bayer Leverkusen meet Lippstadt, Mainz take on Fortuna Cologne and Freiburg are at Neustrelitz.
Last season's beaten finalists Stuttgart take to the pitch on Sunday at Dynamo, with the likes of Hertha Berlin, Borussia Monchengladbach, Hamburg and Hannover also in action on that day.
Bundesliga side Augsburg kick off this season's competition with a trip to third division RB Leipzig tomorrow night.