Carragher enjoyed success with Benitez at Anfield.
When asked whether Benitez could join Everton, he told talkSPORT: “Why not? They’re looking for a manager and he’s looking for a job.
“He wants to stay in the Premier League and he’s stated that a few times, that is his priority.
“Everton would love to get someone with his CV, but with the Liverpool situation it makes it difficult. If all parties come together and they are willing to give it a go then I’m sure he would do a good job.”