The relevant bit from the Code of Canon Law is:
Can. 867 §1. Parents are obliged to take care that infants are baptized in the first few weeks; as soon as possible after the birth or even before it, they are to go to the pastor to request the sacrament for their child and to be prepared properly for it.
§2. An infant in danger of death is to be baptized without delay.
Can. 868 §1. For an infant to be baptized licitly:
1/ the parents or at least one of them or the person who legitimately takes their place must consent;
2/ there must be a founded hope that the infant will be brought up in the Catholic religion; if such hope is altogether lacking, the baptism is to be delayed according to the prescripts of particular law after the parents have been advised about the reason.
(The other things in the law about baptism of infants refers to infants in danger of death.)
Nothing about the status of the parents is mentioned. Bishop Morlino is just being homophobic.