Santiago Solari was also called up to replace Lopetegui last season and now Raul could be the next in line.
With around a 70% win rate, 360 goals scored and only 160 conceded, Real Madrid waved goodbye to Zidane who was one of the most internationally acclaimed managers.
Asked about Eriksen and Van de Beek at a press conference and whether he said no to signing them, Zidane replied: "I'm not going to say yes or no to that, it was up to the club".
I'm not thinking about leaving.
"I don't feel questioned, it's the other way around".
Madrid face La Liga's early frontrunners Sevilla on Sunday, when Zidane will be hoping for a response after his side's miserable performance in midweek.
Sevilla are top of LaLiga after three wins from their opening four games and Zidane says his players need to continue working hard if they are to return to winning ways.
Former Brazil and Real Madrid midfield maestro, Kaka has said the club can overcome their poor start to the season and deliver a major trophy at the end of the season. I think Real Madrid has a very good team, very good players and an unbelievable coach. "We have to be together to achieve our objectives".
"I know how it works", Zidane said.
"I'm not getting into it", the Real Madrid coach added. If you lose, things have to change.