Pork Cutlets with Smothered Parmesan Green Beans

butter

extra-virgin olive oil (divided)

to 4 large shallots (thinly sliced lengthwise)

garlic cloves (smashed)

dry white wine

heavy cream

plus 1 tablespoon water (divided)

finely chopped sage

frozen frenched green beans (do not thaw)

boneless pork cutlets or chops

grated parmesan