[5][6] Moschos began his professional career with the Greek Basket League club Panellinios in the late 50s.
[2][8] In 1961, he joined AEK Athens basketball club, where he won four consecutive championships and reached the semifinals of the 1966 FIBA European Champions Cup.
[2][8][9][10] On 16 January 2018, AEK Athens basketball club honored the 60s golden generation, and his daughter received the award.
[11] Moschos, alongside Christos Zoupas, represented the country of Greece in the FIBA All-Star Games in 1966.
[2][9] In 1989, AEK Athens basketball club named its indoor arena after him to honour his legacy.