That is a decision for his local bishop not the pope.
Where did Cardinal Burke end up?
He is still in the Apostolic Signatura, mostly he goes around the world preaching and teaching.
When I was looking into these things, I found out that, believe it or not, Cardinal Burke used to be the Bishop of La Crosse, Wisconsin, where this priest is now assigned (see Cardinal Burke's personal history at Wikipedia - Raymond Leo Burke - WARNING: sounds like this Wikipedia page probably was written by a leftist).
I also found out that Cardinal Burke has his own website ("https://www.cardinalburke.com/"), and, among other things, you can ask him to pray for you there, or you can sign up for his emails.