In 1923 Kenny was captain as Galway qualified for their first All-Ireland final in thirty-six years. After beating reigning champions Kilkenny at the penultimate stage, Galway now faced Limerick who were bidding for a third All-Ireland title in seven years. A high-scoring game developed, however, at half-time the sides were level. A hat-trick of goals by Leonard McGrath and powerful displays by Mick Gill and Mick Derivan helped Galway to a 7-3 to 4-5 victory. It was a first All-Ireland medal for Kenny, while he also had the honour of being the first Galwayman to lift the Liam MacCarthy Cup.