As Perumal creates everyone, He does not have parents. But during His incarnations of Rama, Krishna, He appears to a father and mother.
He is never alone; He is always with us as an Antaryami so He need not be specifically brought to one’s home. This can be explained appropriately to a child.
Notes:
If we desire to be parents to Emperuman, we shall bring a Krishna doll to our house and be like Yasodha or like a brother or friend to Krishna. It is the thought that matters in being devoted to Krishna like a friend. He plays the role of what a devotee desires.