The Rossoneri had been in advanced negotiations with PSG for a 47m move, but President Silvio Berlusconi pulled the plug at the last minute.
"Milan are a club who want to win and if they want to keep winning then they have to keep Thiago Silva," Ibrahimovic told Fotbollskanalen.se.
"I hope soon they will also bring in new players, that the team plays better and that there aren't so many injuries.
"I am angry, but that just fires up the desire in me to keep going forward," he said after Sweden's elimination from Euro 2012.
"I will respect my contract with Milan and right now am focused only on playing for pride against France.
"I feel even more motivated than usual, as defeats don't make me think negatively. I am not retiring from international football. Who will win Euro 2012? I couldn't care less..."