The Oranje were beaten 3-2 by Bayern just three days after the Bundesliga club lost out to Chelsea in the UEFA Champions League final.
Robben, who missed a penalty against the Blues, came on as a 75th-minute substitute for
"It's absolutely outrageous how the fans treated
"You only have to look at what he has accomplished there. He scored a penalty against Real Madrid in the (Champions League) semi-finals.
"People seem to have forgotten that. They should be pleased to have such a player.
"A large part of the German crowd booed their own player. That cannot happen.
"If I was Arjen, I would start thinking about whether I still want to play football there, even if my contract has just been renewed.
"Arjen is very strong mentally, and comes back stronger each time after every setback. I don't know what Arjen is going to do but this is a disgrace."
Robben recently signed an extended deal with Bayern until 2015, but
"The reaction from the fans was scandalous," said
"Not only that, but over the last few days no-one at Bayern has defended him. By doing that, they're shutting him out.
"Arjen has had a very disappointing evening. If it was my decision, he'll come to Inter this summer."
Eintracht Frankfurt goalkeeper Oka Nikolov will end a 19-year association with the Bundesliga club to continue his career in Major League Soccer.