At home, I have a jar of Pereg oregano that says "glatt kosher" and parve. Am I missing something? I thought "glatt" applies only to meat. If so, how can something be both fleishig and parve at the same time? Similarly, I've seen a store called "glatt farm". the store sells only produce. Does fruit have to be "glatt kosher"?
Glatt meat means that the animal's lungs are completely smooth. The word "glatt" can not apply to produce, fish, poultry, and so on. (MyJewishLearning)
However, "in some instances it may be intended to imply that the product was processed under a superior hashgachah, as per the term's informal usage." (Kashrut.com)