hi they will be fine in zone 7 if cut down and nothing else but if you cut back to 4 ft
and slide a large poly carpet storage bag ( available from the you haul trailer rental place) then pack it tightly with dry leaves or shavings or dry sawdust then tie the top to exclude water it will start growing from the top of the old sudostem in spring and bloom around July or august and then have lots of inedible bananas not to mention a beautiful flower the two i treat this way have bloomed every year
for 3 years in zone 7 north Carolina this method will usually work for blue Java/ice cream if its is well established but it is not a sure thing with them
