Robben's European Cup holders went out to Atletico's city rivals Real in Bavaria last night, 5-0 on aggregate, but the Dutchman had little words of encouragement for his former team-mates.
He told Sky Sports: "I don't really care. I watched the first game, it was 90 minutes. I couldn't watch it because I don't think it had anything to do with football.
"It's okay, the two managers, everybody does it in their own way. (But) I think Real Madrid are going to win the final and I wish them all the best."
Bayern retained the Bundesliga with ease in Pep Guardiola's first season in charge and still have a German Cup final against Borussia Dortmund to contest.
Robben said they could not afford to underestimate Dortmund, their domestic rivals who they beat at Wembley last season to win the Champions League.
He said: "We have been punished tonight, but we have to lift our heads, because we have a cup final coming up.
"We took a beating, we have to accept it, cry about it, go home and then move on."