Robben moved to the Allianz Arena in August 2009 after finding himself out of favor at Real Madrid following the arrivals of Cristiano Ronaldo and Kaka, FourFourTwo reported.
The Netherlands international has gone on to enjoy a near-decade of trophy-laden dominance with Bayern, winning seven Bundesliga titles and four DFB-Pokals.
Robben's crowning glory in a Bayern shirt came when he scored an 89th-minute winner to down domestic rival Borussia Dortmund 2-1 in the 2012-13 Champions League final, a year after Bayern had been beaten by Chelsea in the 2012 showpiece.
But the 34-year-old confirmed that this campaign will be his last in a Bayern shirt.
Speaking to Omnisport during an official fan club visit, Robben said, "It's my last year at Bayern.
"It has been 10 beautiful years. But it's time [to leave] now."