The phrase "paddle attachment" refers to a tool or accessory used in a kitchen mixer. It is a shaped attachment that looks like a paddle and is used to mix and combine ingredients, especially for making dough or batter. Full definition
Combine butter and cream cheese in a bowl fit with with paddle attachment of mixer. (swankyrecipes.com)
Beat butter, brown sugar and vanilla until light in colour and texture (about 3 minutes in a stand mixer with paddle attachment on medium speed). (kitchenettefinds.com)