Arguez signed with Hertha for a transfer fee of approximately $300,000 last week. He originally went to Hertha for training but impressed so much during its winter camp on the Spanish island of Tenerife that it decided to buy him.
Hertha was down, 2-0, when Arguez entered the game, and lost, 3-0.
Arguez's debut, however, did not go well. Eintracht's third goal came on a counterattack after he lost the ball.
Upon signing Arguez, Hertha general manager Dieter Hoeness said, "When you watch him play, you'd believe he's played 100 Bundesliga games."
The youngest player to previously debut in the Bundesliga was Jovan Kirovski, who played for Borussia Dortmund in 1996 at age 20.
Arguez, who turned 19 on Jan. 13, was a first round pick by D.C. United in the 2007 draft.