With Moyes on his way to Manchester United to take on the Herculean task of replacing Sir Alex Ferguson, who might be ready to take the reins at Goodison Park?
Here is a run-down of five of the top candidates
With Andre Villas-Boas at Tottenham Hotspur, and Chelsea likely to secure Jose Mourinho at the end of the season, there could be three former Porto managers in the Premier League next season if Everton pursue Vitor Pereira. The current Porto boss is out of contract this summer, and has yet to commit to a new deal in Portugal, despite enjoying two fine seasons at the club after succeeding Villas-Boas. This weekend Porto play Benfica in what might be a title decider in Portugal, so do not expect any comment from Pereira or his club just yet.
Martinez has been linked with a move to a top club for some time now, with Liverpool reportedly considering the Wigan manager last summer. He still has plenty to do to ensure Wigan's unlikely survival in the Premier League this season, but there will likely be teams in the top flight interested in Martinez regardless of what happens in the relegation battle, and Everton could well be amongst them. It will be a very different challenge at Goodison Park, but Martinez deserves a chance at a top side, and Everton could do very well under the Spaniard.
With the Scottish league lacking in competitiveness in the absence of Rangers, and Celtic likely to struggle to better their exploits in the Champions League this season, Lennon might be tempted by a move to Everton this summer. His record in Scotland is excellent, and considering he has achieved his success on a limited budget at Celtic, he might be exactly what Everton are looking for to continue to work Moyes has done over the last decade.
Having led Cardiff to promotion to the Premier League, after achieving a Carling Cup final and playoff place last season, Mackay has impressed plenty of team in his time at the Bluebirds. Mackay might be keen to stick with Cardiff in what will be a challenging first season in the top flight, but if Everton are serious in their pursuit of the 41 year old, he would find it very hard to turn them down.
After a tremendous debut season at Swansea City, Laudrup has turned plenty of heads at top clubs around the Premier League, and Everton might view this summer as a chance to grab one of the most exciting young managers in Europe. Laudrup might be determined to stick with Swansea and try and build on their success this season, and indeed he might struggle to replicate his fantastic first year in the future, but if Everton could tempt him to Goodison Park, it might prove to be a superb piece of business.
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