In Papa's Wingeria, they are called French Fries. It is one of six sides, the third one that is unlocked, that can be selected by customers as a side to their wings orders. It's unlocked when player reaches on Rank 12 with Big Pauly.
In Papa's Cheeseria, Crinkle Cut Fries. It is the last of five "fries" in the game, It's unlocked when player reaches on Rank 54 with Yippy. The badge "Side of Fries" is earned when Crinkle Cut Fries are unlocked. The badge "Crinkle Cutter" is earned when Crinkle Cut Fries are served to 30 customers. When you put these in the fryer the handle will turn olive green (similar to Tofu Skewers in Wingeria HD).