The Toffees have come close to being relegated from the Premier League for the past three seasons.
“It’s been a difficult moment for the Club," he told the club's website. "Not so long ago we were fighting for European places and to win trophies but recently we have been having to fight to survive. It’s difficult but that can happen in football. It can be a strange game.
“We had a good moment and a good run earlier in the season, then we were struggling for wins. But we did get back to what we can do best. We were giving everything for the Club and putting wins back on the board.
“We ended up surviving with plenty of games to spare, which was better than last season and important, because the thought of Everton being in anything other than the top flight was unthinkable.”
Gueye added, “I will always give everything I have for Everton. Ultimately, as a Club, we’ve got to learn from things that have happened before and move forward because nobody wants the trend of just surviving to continue – it can’t be normal for Everton. The Club will find solutions, I’m sure. We stay positive and move forward.”