Bournemouth manager Eddie Howe has vowed to give his promotion heroes the chance to shine in the Premier League.
Wolves boss Kenny Jackett fears he will lose key winger Bakary Sako after his side missed out on a place in the play-offs.
The 49-year-old Scot has been at Goodison Park since 2002 and has arguably one of the safest jobs in English football.
But Moyes has admitted to dreaming of a role overseas when his time at the Toffees comes to an end.
"I always had the hope of being a coach abroad," said Moyes in an interview with France Football.
"If I had the choice I would probably go to Germany. In part because of the mentality, which is similar to mine.
"I'm also fascinated by what happens in German football. They seem to have found a way of producing young players.
"Look at Borussia Dortmund. I saw them against Manchester City this season. They were fantastic. They put this incredible intensity on their opponents to break the tempo. It adds a new tactical level.
"If I was not working as a coach, I think I would decide to go to South America. To Brazil, Argentina, Uruguay, to see how they train young people out there.
"That would be my project - to understand football better."