Tom Cleverley leaves for Watford after two years with Everton
Koné is the most senior player to be released after his contract expired while Cleverley completes an £8m move to Watford, although the fee is officially undisclosed.
The former Manchester United midfielder spent the second half of last season on loan at Vicarage Road and made enough appearances with the Hornets to trigger a clause in the deal to make the switch permanent in the close season.
Meanwhile, one teenager looks to have been added to the academy at Finch Farm with a post on Twitter that 15-year-old Einar Iversen has joined from Stord IL following trials at Everton.
Another looks close to signing as well with journalist Jean-Seb Gallois revealing that 19-year-old forward Boris Mathis has signed a two-year deal with the Blues that will see him arrive from Metz although the deal has yet to be confirmed. A product of Lyon's youth academy, he has just broken into Metz's first team, making two senior appearances earlier this year.
And German winger Anton Donkor looks like he could be getting a second chance with the Under-23s after he posted an Instagram story of him checking into a Liverpool hotel room.
Donkor was signed on loan from Wolfsburg in January but his bid to impress David Unsworth were hampered by injury that prematurely ended his season.
Goalkeeper Louis Gray will be with Unsworth's team for another season after he signed a new one-year contract with Everton.
Full list of players officially leaving Everton today:
Cleverley had nothing but good things to say about the Toffees when he spoke following the confirmation of his permanent move south despite his time at Goodison Park not quite going to plan.
"When I look back on my career, to be able to say I've played for Everton as well as Aston Villa and Manchester United," he said, "historically three of the biggest clubs in English football, that's something I'm massively proud of.
"Before I joined, I knew what a historic place Goodison was and about the great atmosphere it creates.
“I made a lot of good friends at Everton, the chairman (Bill Kenwright) was great and I really have a lot of respect for both managers I worked under.
"I just want to say thanks to everyone at Everton for giving me the chance to play for such a special team.
“Unfortunately it didn't quite work out and I don't think they saw the best of me but good luck to them in the future, I'll always look out for the team's results and hopefully they carry on improving.”