As a player, he was a winger who notably played in the Premier League with Tottenham Hotspur and West Ham United, and in La Liga with Sevilla.
He initially shot to fame when his frontline partnership with Gheorghe Hagi and Florin Răducioiu led the Romania national team to the 1994 FIFA World Cup quarter-finals.
In eliminating Argentina en route, Dumitrescu scored twice in a 3–2 win, despite playing in an unfamiliar striker position with Răducioiu unavailable.
Following retirement, Dumitrescu has had an extensive career as a manager in his native country as well as Greece and Cyprus, with a spells at Oţelul Galaţi, FC Braşov, Alki Larnaca, Romania U21, FCM Bacău, Apollon Limassol, AEK Athens, Egaleo, Akratitos, Kallithea, PAOK, Panthrakikos, and Steaua București.
Steaua, who had won the European Champions Cup the previous year, loaned Dumitrescu to Olt Scorniceşti to gain more experience.
Returning from his loan, Dumitrescu became an important part of the Steaua București squad, playing alongside big names such as Marius Lăcătuş and Gheorghe Hagi.
[citation needed][3] Dumitrescu had a good time in southern Spain but the club baulked at the transfer fee Tottenham demanded.
After playing in the first half of the 1995–96 Premiership season and failing to impress, Dumitrescu was sold to West Ham United, where Harry Redknapp wanted to make him the player he once was.
Argentina equalized almost instantly from a penalty but Romania regained the lead minutes later through a well-worked passing move that enabled Dumitrescu to score from close range.
Following a short-lived career as a player agent – he had established a company called "Sport & Business World" in 1998 –, Dumitrescu took on his first position as a manager in 2000 signing with Oţelul Galaţi from Romania's Divizia A.