I've seen some sites list
Japanese Hardy Banana (Musa basjoo) as zones 4 to 10, other sites list zone 5 to 10 and one sites listed it as zone 7a to 10b. I agree with ardesia that in your zone 7a, if it's planted in the ground, mulch it heavily and cut it to the ground before the first freeze.
I'm in zone 9b, Florida where we get occasional frosts and even a rare freeze some winters. When I grew Musa basjoo years ago, I never seemed to get around to cutting mine back, while our neighbors always chopped theirs down to the ground if a frost or freeze was predicted. The trees do indeed turn to mush in cold weather ... and as Alice mentioned, they are difficult to prune when they are soggy and slimy.