You're going to need to profusely wash it a few times. Collected moss is extremely dirty. Maybe a dip in something to make sure you kill any hitch hikers if you're putting it into a tank where this is a major concern.
Being a temperate moss results will vary. Some will take the temp shock well, some should be slowly acclimated, and some will just die over time due to the high temps.
Also, it isn't zipper moss. There are over 600 different species of Fissidens in the USA... and that moss is from southern asia.