While De Zerbi led the Albion to Europa League football last season, they struggled with injuries this term and finished in 11th place.
After a final day 2-0 loss to Manchester United at home, De Zerbi told BBC's Match of the Day: "Listen, we didn't find the agreement to move on. We talked together at different parts of the season, I want to keep my way. I know very well what I want to do and I know I am a coach and I have to accept the policies of the club.
"I have no problem with the club or Tony (Bloom). I have to say thanks to Tony and his family, and Paul Barber, and his family because I can't forget what they gave me. They gave me an incredible chance.
"They give me the possibility to know incredible people, to play and to work in the Premier League, to play in the Europa League. They gave me the opportunity to know this club, this city, these fans and for that I cannot forget. I have to say thanks."