Kean, 20, struggled for form with the Toffees after a £27million move from Juventus in August 2019, scoring two Premier League goals last campaign.
But the Italy international has bounced back in France since joining PSG on a season-long loan, scoring 13 goals in 24 games for the French giants.
Bamba is close to the Kean family and told Le Parisien via Le 10 Sport: "In Everton, there was already a group in place with young and settled players like Richarlison and others. He didn't have his chance but he knew how to keep a cool head.
"The most important thing for him was to find a club that would allow him to continue his progression. The Moise I know is that of Paris, not of Everton. At PSG, he is having fun again. I saw his brother who helps him a lot on a daily basis, and I know he is well in France."
Bamba was with Juve's academy alongside Kean before he left for France to sign for Dijon.
Kean has a contract at Goodison Park until 2024. His loan with PSG does not include a permanent option.
- updated January 18