The best way to keep it as fresh as possible--put it like cut flowers in a jar/glass of water. But, if that's not easy--depends on how you get to work, etc., then parsley does last pretty well--think of the bunches you buy at the store. They only get occasional misting, yet don't wilt terribly. Cut, rinse, and wrap in a paper towel, then place in a zippy bag. Keep refrigerated. (I use the paper towel because you want to draw the water off the parsley leaves--they will mold). I don't like to band or tie the bunches--more air will lead to less mold.

It is easy. One way is as baloonflowe said.

The other way, soak in water rinse put it in plastic bag, keep in fruits section of frig. Parsley is frost tolerant. The cooler, the better.

While in transport, wrap in wet paper towel, put it in a paper or plastic bag.
Parsley is very hardy. It can last fresh for days. The only thing is if kept open(without moisture) will become droopy. Even then it is edible.

Thank you both.

Lynn