Yes, but he is white.
Well thats rather presumptuous, how do you know what he identifies as?
Indeed he is.
But for whatever reason, white Europeans from the Iberian Peninsula and their descendants get to play the "Person of Color" card in America.
I'm sure if you ask him, Brühl considers himself white.
But I'd bet money when it comes to the racial bean counters working at Netflix (who produced this film) they'll check the "Hispanic" box for him.