Jose enjoyed a glittering five-and-a-half year spell at the Egyptian champions, leading them to a host of local and continental titles.
He became a cult figure for Ahli fans, leaving Vingada with a difficult task to make a similar impact.
"What Jose did with Ahli is something unbelievable," Vingada told Ahli channel on Friday.
"I think nobody was able to produce such fantastic results before.
"I will be very happy if I can follow the way of success that Jose made in the past. What I can promise is that I will do my best along with my assistants to be successful."
Vingada also said he was encouraged by Jose to accept Ahli's offer.
"Jose was talking very well about the club. He advised me to come here," the former Jordan coach added.
Vingada, 56, will manage an Egyptian club for the second time in his managerial career.
He had a spell in charge of Ahli's arch-rivals Zamalek, leading them to their last Egyptian Premier League title in 2004.