Have a read through of this post I did a few weeks ago about race in the medieval period, it should help you understand both the problematic nature of your question and also provide some answers.

You can also check out this useful discussion by /u/telkanuru .

The short answer: notwithstanding one's definition of 'race' - or the applicability of the modern concept of race to the medieval periods - most mediterranean cities, and many northern ones too, would have had representation of a variety of peoples from the most northern reaches of Europe, down to the western Mediterranean and across to the Byzantine lands. Populations would have varied by city.

What do you mean by "race"?