Racing Club coach quits after derby defeat
The club's website said that Llop, who last year saved the team from relegation, had resigned following a meeting with club directors after the game.
The loss to Independiente, whose stadium is only 200 metres from Racing's own ground in the district of Avellaneda, left Racing bottom of the Clausura championship after losing all three games.
Racing are one of the country's most popular teams and have won the Argentine championship seven times, but only once since 1966.
Racing's recent history has been troubled. Burdened by huge debts, the club nearly folded during the 1990s and were in a state of bankruptcy for a period of 10 years which ended last December.
They have employed 16 different coaches in the last 10 years, three of them twice.