Persitz was Israeli Junior Champion in 1951.
He studied at Balliol College, Oxford, and represented Oxford University in the annual match against Cambridge University on three occasions (1954, 1955 and 1956). In 1954 he won his individual game in the Oxford-Cambridge match in the morning, playing very quickly in order to be able to travel by train to Swindon (some 75 miles away) in time to play top board for his county (Oxfordshire) against Gloucestershire in the afternoon. He was paired against a former British champion, Conel Hugh O'Donel Alexander, and managed to win this game as well.
Persitz played three times for England in the World Student Team Chess Championship.
He won individual gold medal at Oslo 1954.
Persitz moved from UK to Israel, and then to Switzerland. He played for Israel at fourth board in 14th Chess Olympiad at Leipzig 1960 (+6 –4 =2).
In 1955/56, he tied for 6-7th in Hastings (Viktor Korchnoi and Friðrik Ólafsson won). In 1958, he played in Haifa / Tel Aviv (Samuel Reshevsky won). In 1961, he tied for 7-8th in Netanya (Moshe Czerniak, Milan Matulović and Petar Trifunović won). In 1968/69, he tied for 8-10th in Hastings (Vasily Smyslov and Svetozar Gligorić won).
He is also a prolific and entertaining chess writer, contributing articles to a long-running column in British Chess Magazine entitled The Student's Corner.