Kunda was named in the first
Northern Rhodesian national team in June 1964 soon after the country affiliated to
FIFA. Despite being 18 years old, he was chosen to lead the front line and he scored the first goal in a 3–0 win over
Tanganyika and two more when Northern Rhodesia swamped
Nyasaland 5–0 to win the Ufulu Cup in
Blantyre. Despite this, he was left out of the Zambian team during the country's
independence tournament in October 1964 which featured
Kenya,
Ghana and
Uganda, and Zambia lost all their games. He returned to the team when Zambia traveled to
Nairobi in December 1964 for the Kenyan Republic Cup two-match series. He watched from the bench as Zambia were beaten 4–2 in the opening match but starred in the second game, scoring four goals as Zambia turned the tables 8–2 to lift the trophy 10–6 on aggregate. Kunda once again led the line when Zambia faced off with Kenya once more for the Rothmans’ International Trophy at home in September 1965, and he held his own alongside veterans Ndhlovu,
Jackie Sewell and
Emment Kapengwe and scored once in the three match series which Zambia won despite an 8-8 aggregate score on account of having forced more corners than Kenya in the final game. He also scored twice in two matches against
Middlesex Wanderers in June 1965 and another two against Ugandan provincial side Busoga in October the same year which Zambia won 4-2 having earlier drawn against the
Uganda Cranes two days earlier. This proved to be his last outing with the national team. ==Life after football==