Zynsky's work is known for featuring the filet-de-verre technique, which she pioneered, in which fine threads are pulled from glass canes. Zynsky has shown her work at exhibitions worldwide. In 1988 she was awarded the Rakow Commission for work added to The Corning Museum of Glass. She designed the torch, in the shape of a prosthetic limb, for the 2002 Paralympic Winter Games. She was a resident artist at the Corning Museum of Glass in 2016. In 2008 she was named to the American Craft Council College of Fellows.
Her work is included in the collections of the Smithsonian American Art Museum and the Seattle Art Museum.