Velez are 18th in the Superliga after consecutive losses, while they also crashed out of the Copa Argentina at Atletico Tucuman in October.
And things came to a head following the latest reverse, with a home fan spitting on De Felippe before the coach announced his departure in a post-match news conference.
“I’m leaving because of what happened on the pitch,” he said.
“A fan spat at me. I can’t stand that. I can’t put up with a stupid person spitting at me.
“It’s better to leave now.”
On his disappointment at the way his tenure panned out, De Felippe, who took charge in September 2016, added: “It’s a pity because one does so much to arrive at this club and things didn’t go as I thought they would.
“But results dictate and I need to leave in order to defuse the situation.”
