Spending his childhood in Romania, Matzourakis began his footballing career for the Romanian side of CFR Cluj, where he became the team's top goalscorer in 1968-1969. He was later transferred to Rapid Bucharest where he played until the age of 22.
He began his career as a coach in the 1980s, first with Aegaleo FC, then with Chalkida FC and Kavala. In 1987 he went to Cyprus and coached APOP Paphos and later Pezoporikos Larnaca. Returning to Greece, he coached of Naousa FC.
Afterwards, he coached Larisa, in the 1996 season and SKODA Xanthi until 1999. In 2000 he won the Greek championship with Olympiakos. He returned to Cyprus in 2002, and coached Anorthosis and AE Limassol FC.
Mantzourakis had a second stint at Xanthi for two years, quitting the team on September 26, 2006. He returned to Cyprus in January 2007, this time with Omonia, replacing their previous coach Ioan Andone without success. He was fired after his team was beaten in the Cyprus Cup Final by Anorthosis Famagusta.