It depends on what attributes you are looking for. However following tradition it would be animals that portrait male characteristics. For example two animals often associated with a symbolic father figure are Jaguar and Cougar.
Alternatively the sky is in many cultures associated with the first father, hence animals such as eagle would be fitting representations (as it soars the sky). Additionally the sun has also been related to the father figure, which would again lead us to an animal such as Jaguar that is believed to incarnate sun attributes.