Hmmm… Interesting. I wouldn’t have thought this would be allowed, but there is nothing in Canon Law (as far as I can tell) that prohibits it.
I believe in the previous Code of Canon Law (1917), it specifically said that priests could not serve as godparents, but the current Code of Canon Law (1983) left out that stipulation.
I have some friends who had a priest as the godfather of one of their kids. But they had a different priest do the Baptism.
DISCLAIMER: Catholic Answers has turned over the archive to Catholic-Questions.org and no longer owns, manages, or moderates the forums. For additional apologetics resources please visit www.catholic.com.