Yes it has Subway access to Methodist.
I posted a photo of the access points
It does have subway access and according to Mayo website Methodist connects to the subway system as well. Here is a link to the maps of the subway and skyway system https://www.mayoclinic.org/patient-visitor-guide/minnesota/travel-lodging-maps/maps
It does have subway access to Mayo, but not sure about Methodist.
Thanks! Your answer is awaiting moderation.