Como é que se diz isto em Português (Brasil)? my favorite american football players as a dominican person

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I'm supposing that before the phrase, you would say something like "(these ones) are my favorite American football players, as a Dominican person". Is that what you mean?
If my supposition is correct, then you could say something like:
• [ones] são meus jogadores favoritos de futebol americano, sendo (eu) dominicano/dominicana.
• [ones] são meus jogadores favoritos de futebol americano, enquanto/como (uma pessoa) dominicana.
Now changing the order a little:
• Como/enquanto uma pessoa dominicana, meus jogadores favoritos de futebol americano são...;
• Sendo dominicana/domicano, meus jogadores favoritos* de futebol americano são...;
* Saying "favoritos" after the subject would be correct as well.

Another possibility is taking the verb out, turning the phrase into an explanation (what we would call "aposto" in Portuguese). Like this: [Players to be mentioned], meus jogadores de futebol americano favoritos, sendo (eu) dominicano/dominicana. Or maybe: [Players], meus jogadores favoritos de futebol americano como/enquanto (pessoa) dominicana.
I think these options might fit nicely what you mean, but if you tell us the specific context within you would like to use this phrase, I think we could give you a more accurate answer. =)