Rovers have lost their opening two games of the season and Kean has struggled to win over the sceptics since replacing Sam Allardyce at the helm last December.
He is prepared to offload Diouf before the transfer window closes after the Senegal attacker spent the second half of last season on loan at Rangers.
Kean has insisted he has no problem with Diouf, but the 30-year-old feels Ewood Park is no longer a difficult place for opposition teams to visit since the change of manager.
"Nobody used to want to come and play at Ewood Park," Diouf told The Sun. "It used to be hell. But right now everyone wants to play Blackburn.
"A lot of things have gone - that spirit we had to win the game for the fans, for the manager and for ourselves.
"Who is going to come in and make the difference? I don't see it.
"I don't want to see them relegated. But I know it's going to be hard. I was one of the biggest players at the club. Then it all changed under the new manager.
"If the players he had were better than me, OK I understand that. But right now that is not the case."
Diouf added: "When he was coach, he used to talk to me all the time. He'd tell me I was the club's best player. Then when he became the manager, he changed his opinion of me.
"The problem he has is with Sam Allardyce and he has put that on my back.
"It's better they let me go and I can find another club."