In 2013–14, Kozuka earned a bronze medal at the 2013 Cup of China. He placed 3rd at the 2013 Japanese National Championships but was not included in the Japanese team to the Olympics. He was assigned instead to the 2014 Four Continents Championships where he won the silver medal. When Daisuke Takahashi withdrew from the 2014 World Championships, Kozuka replaced him as a substitute and placed 6th at that competition.