Any cardinal possesses faculties to celebrate the sacraments anywhere on earth, and presumably beyond. What Cardinal Burke does not possess is the right to celebrate at a place where he’s unwelcome. He was refused a venue, perhaps because pressure was applied to deny him access; so far as I can tell this has nothing to do with faculties.
We may not be privy to the specifics but we all know, ultimately, why His Eminence was denied "access."
Because spiteful ecclesiastic engineers (modernists, homosexuals, imposters, saboteurs and manipulators) are from hell and believe actions like this are fruitful to their cause.