The Gunners secured their place in the last-16 of this year's competition for the 13th consecutive campaign following last night's 2-0 victory over Montpellier in Group B, and now the Polish goalkeeper has set his sights on going all the way.
Arsene Wenger is yet to get his hands on the most illustrious piece of silverware in European football's trophy cabinet, with a final defeat to Barcelona in Paris in 2006 the closest Arsenal have come so far.
Now with the holders poised to exit the Champions League at the group stage, Szczesny believes Arsenal can take Chelsea's mantle and go on to conquer the elite club competition.
"Of course we have (taken inspiration from Chelsea)," he told the London Evening Standard. "They weren't fantastic in the Premier League last season and had a fantastic run.
"I hope we can do what they did last season but do a little better in the Premier League as well.
"You only take part in competitions to win them. There are fantastic teams in Europe and ones probably more likely to win it than us. But I'm in this competition to win it, so that's my ambition."
Arsenal still have one more group game to play, with a trip to Greece to face Olympiacos, but Szczesny refuses to buy into the belief that securing top spot with victory is a necessity.
"Arsenal have qualified for the last 16 every year for the last few years and I don't think us qualifying is a surprise," he continued.
"Chelsea and Man City not doing well is a massive surprise. At the moment, we are just enjoying that we got through and that is what we're going to focus on.
"Of course, we hope to get a good result but it's not in our hands, we have to rely on someone else to get results as well.
"I'm not sure it's the most important thing to finish top. In the last 16, whether you finish first or second, you come up against the best teams in Europe. We finished top last season and played AC Milan away and lost 4-0."