Deliyiannis was born on September 26, 1948 in Glyfada. He started playing football for local club Poseidonas, making the big jump to Panathinaikos in 1968. He played for the greens from 1968 until 1972, making 39 league appearances and scoring three goals.
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Deliyiannis' nickname was "Mazzola" due to the uncanny resemblance he bore to Inter Milan footballer Sandro Mazzola.