Anyway, from what I read, the consent of a father is one of the requirements:
5. the declaration of the other parent to consent for granting the Polish citizenship to the child
My loose translation from this website:
mazowieckie.pl/pl/dla-klienta/cudzoziemcy/obywatelstwo/nadanie-obywatelstwa-p/14750,Jakie-dokumenty-musze-zlozyc.html