After leaving Groningen in 2002, Robben won league titles with PSV Eindhoven, Chelsea and Real Madrid before a hugely successful decade with Bayern Munich.
He retired from Bayern a year ago at the age of 35, having helped the club to eight Bundesliga titles as well as the 2013 Champions League.
The 2010 World Cup finalist said he was fully motivated to return but that he had to get fit first.
"I want to make my comeback at FC Groningen. At this time I'm not sure it will happen," Robben said in a video on the Groningen website.
"What I am sure of is that my motivation will be at 100%. I'm going to go for it and I will be at the first training session for the new season. Because my dream is to play in an FC Groningen jersey, we're not there yet, but you can always dream".