Hernandez missed the 39-22 defeat by France last weekend because of a thigh strain, but has been passed fit for the final match of the Pumas' year.
The Racing Metro star, who can also play fly-half, replaces Lucas Gonzalez Amorosino with Nicolas Sanchez selected in the number 10 jersey.
Exeter wing Gonzalo Camacho and Montpellier centre Santiago Fernandez come in for Horacio Agulla and Gonzalo Tiesi with Marcelo Bosch shifting to outside centre.
Montpellier tighthead Maximiliano Bustos makes he debut at the expense of Juan Figallo.
Argentina: J M Hernandez (Racing Metro), G Camacho (Exeter), M Bosch (Biarritz), S Fernandez (Montpellier), J Imhoff (Racing Metro), N Sanchez (Bordeaux-Begles), M Landajo (San Isidro), M Ayerza (Leicester), E Guinazu (Southern Kings), M Bustos (Montpellier), M Carizza (Racing Metro), J F Cabello (Tucuman), J M Fernandez Lobbe (Toulon, capitan), J M Leguizamon (Lyon), L Senatore (Gimnasia Rosario).
Replacements: A Ceevy (Montpellier), N Lobo (Montpellier), F Gomez Kodela (Biarritz), T Vallejos Cinalli (Scarlets), T Leonardi (San Isidro), N Vergallo (Tolouse), G Tiesi (San Isidro), M Montero (Pucura).
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The Barbarians are one of the top invitational rugby sides with a long history and classic rugby jersey.
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The Lions are ready to get their Australia tour underway. They arrive in Perth on Monday.
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The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.