Former Manchester City and Portsmouth centre-half Distin believes the Scot has done wonders at Goodison Park, especially with the funds available to him.
The Toffees are currently sitting six points off fourth-placed Tottenham as the club harbour hopes of qualifying for the UEFA Champions League.
Everton also face an FA Cup replay against Oldham next week as they look to reach the quarter-finals of the competition and a potential home tie against Wigan.
The Frenchman told France Football magazine: "When you see what he can achieve with the means he has, that is simply amazing."
Distin, 35, also held special praise for Harry Redknapp from their time together on the South Coast at Pompey.
"Wherever he has coached Redknapp has always had success which is not by chance," added Distin.
"On a tactical level he may not be a genius, but on a human management level he is capable of making you believe that you are the best player in the world.
"His words reassure and release you which makes you want to fight for that man."