The Catalan giants confirmed the executive's departure following an emergency board meeting with the team's vice presidents earlier today.
"The success the club has had has also come along with difficult moments for myself and my family," Rosell said.
"There have been threats and accusations which make you consider your position including the claim of misappropriation of funds and the court case. I've always stated that we acted correctly with the Neymar transfer.
"The board of directors is a team. And this team leads a project that has brought the club great success. I don't want unfair attacks to negatively affect their management or the image of the club. This is why I think my time here has come to an end."
Vice president of sport Josep Maria Bartomeu will serve as Rosell's successor until 2016.