Everton are on the lookout for a new manager following the departure of Roberto Martinez on Thursday.
De Boer’s brother, Ronald, has revealed to Sky Sports that the former Ajax boss is interested in becoming the new manager of the Merseyside outfit.
Former Newcastle United midfielder Barton, who is an Everton fan, has suggested that the Premier League club should not make a move for the Dutchman.
The former Queens Park Rangers man believes that Southampton manager Ronald Koeman is the right man for the Everton job.
Barton has also suggested that the Toffees should make a move for former Chelsea boss Jose Mourinho.
"If you could get Koeman, I think he’s proven himself in the Premier League,” Barton told talkSPORT. “If you look at his track record as a player and as a coach, he has a track record of winning.
"If you can get Mourinho, you’ve got to get Mourinho. He has to be first choice, just because he’s as good as anyone.”
“Failing that [hiring Mourinho] I would go Koeman, and if all else fails, take a chance on De Boer,” added the former Manchester City midfielder.
“But if you take a chance on De Boer you could be sitting very close to a relegation battle next season. It’s not guaranteed that you’ll get an upturn in form.”
Koeman is a good manager, and he has shown in his two seasons at Southampton that he is able to work with a squad of limited talent.
The question is whether the Dutchman would leave the Saints for Everton in the summer. After all, Koeman is doing well at St. Mary’s Stadium and seems to be enjoying himself there.