An oven appliance includes features for permitting movement of a door of the oven appliance relative to a cabinet of the oven appliance. The oven appliance also includes a hinge assembly that couples the door to at least one of the first and second slide assemblies such that the door is pivotable. The hinge assembly is coupled to a front panel of the door and extends through a liner of the door. A related double oven range appliance is also provided.