The former England boss was dismissed from his post at Goodison Park this week, just six months into an 18-month contract.
Allardyce, who lasted just one match as England manager in 2016, was heavily criticised by supporters for the style of football Everton played during his tenure, but yesterday told talkSPORT he was pleased with his stay on Merseyside.
“I would say most of the Everton fans didn’t want me out. The fans who show discontent are always more vocal," Allardyce said.
“The club was in a very difficult position, but it improved as time went on.
"If it wasn’t enough for the Everton fans at that time who were showing some discontent, I think there were certainly more fans who were happy with what we were doing than the ones that weren’t.
“When I came it was all about reorganising Everton, because of the huge amount of goals they had conceded before I got there. The satisfying thing for me was the response of the players and the staff on the position we finished.”
Allardyce may have saved Everton from entering a relegation battle, but his fractious relationship with fans and negative style of play meant the writing was on the wall long before the season came to an end.
What next for Everton?
The Toffees must now look to hire a boss intent on mending the club's relationship with its fans, and one that has a clear plan for the future.
Everton's 2017/18 campaign was hindered by focusing on short-term goals, so investing for the future and targeting a regular spot in the top 10 is key for whoever is next in the managerial hot seat.