The Gabon international finally swapped the Westfalonstadion for the Emirates for a fee believed to be in the region of £60m, with the 28-year-old capping his debut for the Gunners at the weekend with a goal in their comprehensive 5-1 win against Everton.
He said: "I don't know if I could have done it like Auba did. At that time I was also criticised for my open change intentions at BVB.
"The reaction of the fans I understood a bit. But I only wanted to be honest and always gave everything for the club."
Gudogan himself is no stranger to a departure from Dortmund, moving to runaway league leaders Manchester City for a fee of £27m, following the recent tradition of big-name players leaving the club for pastures new.
8 - Pierre-Emerick Aubameyang is the 8th player to score on his first Premier League appearance for Arsenal. Welcome.— OptaJoe (@OptaJoe) 3 February 2018
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The likes of Mario Gotze, Robert Lewandowski, Mats Hummels and now Aubameyang have all left in recent seasons, usually to join fellow Bundesliga side Bayern Munich.
Now that the Aubameyang situation has been resolved, Gundogan now hopes that his former club can turn the corner and find their explosive, dynamic form that has alluded them since the start of the season.
3 - @mbatshuayi (@BVB) has been involved in as many goals (2 goals, 1 assist) in 90 minutes in the #Bundesliga as in 353 minutes in the @premierleague 2017-18 (2 goals, 1 assist). Start. pic.twitter.com/Q1a1I0PfVa— OptaFranz (@OptaFranz) 5 February 2018
He said: "Both parties live with the solution taken, although Dortmund loses a very, very good player.
"I very much hope that now peace is restored. Because you need to be successful in the Bundesliga. All the bickering was certainly not conducive for the performance of the team.
"I keep my fingers crossed for BVB that the club qualify for the Champions League. It would be nice if I see the boys there again next season."