The 21-year-old has been in impressive form since joining Die Werderaner, as he has scored five goals in 11 Bundesliga appearances for the club, including a strike in Saturday's 2-2 draw at Hamburg.
The youngster's fine form has also seen him earn international recognition with Germany, and he scored a hat-trick on his debut for the world champions during an 8-0 victory over San Marino earlier this month.
Gnabry has now revealed that Arsenal wanted to keep him during the summer, but he now feels vindicated in his decision to move to the Bundesliga.
He told Kicker: "It was the right decision [to leave Arsenal]. Everybody who compares my development over the last four months to my time in England before that can't come to a different conclusion.
"That was the main reason for the transfer - I wanted to get more playing time and it worked. Arsenal wanted to keep me, badly. But I had to look after my development."