A sliding shelf assembly for a refrigerator appliance is provided. The sliding shelf assembly includes a shelf support frame that is slidably mounted inside the chilled chamber of the refrigerator appliance. A connecting arm couples the shelf support frame to the door such that the shelf support frame slides out of the chilled chamber as the door is opened. Moreover, the shelf support frame slidably receives refrigerator shelves that may slide independently of the shelf support frame. The sliding shelf assembly thereby simplifies storage on the refrigerator shelves, improves accessibility of the chilled chamber, and improves consumer satisfaction with the refrigerator appliance.