What?!? This parent is clearly very self-centered and definitely seems po'ed simply because they didn't break up with you first.
Honestly, I would ignore them and smile big KNOWING you did make the right decision all because of parents like them.
IF they continue to give you grief or make any kind of comments, term them immediately. You don't have to put up with the disrespect.
Congratulations on your new job!!! It sounds great!!!