It is acceptable to freeze Greek yogurt; this will extend the yogurt's shelf life by several months. However, it will not have the same smooth consistency as commercially prepared frozen yogurts, which are made with additional ingredients.
If Greek yogurt is frozen properly, its quality and benefits should remain intact once thawed. However, the yogurt will likely require mixing, as it may separate during the thawing process. Additionally, it may lose some of its flavor once thawed. Because yogurt can expand when it freezes, putting it into airtight freezer bags or other food storage containers is recommended. This will keep the yogurt fresh and help avoid freezer burn. Yogurt will only keep six to eight months when frozen so it should be labeled with key dates.