Zamalek marksman Zaki spent a brief loan spell at Hull last year, during which he only made a handful of Premier League appearances and couldn't score any goals.
Hull, who were eventually relegated, are willing to give the well-built ace a second chance, according to club owner Assam Allam.
"We are interested in transferring Zaki back to Hull City in spite of the unsuccessful loan experience last season and I hope that he can appear in form soon," Allam, an Egyptian businessman, told Al-Ahram Portal.
On the possibility of signing Shikabala, Meteb and Fathi, Allam said: "We will discuss buying them with the coaching staff after we study their abilities.
"I love my country although I live in England and I will do my best to book places for its football talent in European leagues."
Assem and Ehab Allam completed their takeover of Hull midway through December.