Don’t start out your marriage by siding with your family instead of your wife. If she’s not comfortable calling your parents, don’t even bring it up again.
I’ve been married around seven years, and I think I have only called my in-laws a handful of times. My husband usually video chats with his parents once a week, so they can see our son too, and if I’m around I will join the conversation.
It’s weird of your parents to expect this. Do your parents text? Maybe that would be more comfortable for your wife, IF she is interested.