The 27 year-old recently told Nikkan Sports that talks were in the final stages and only a few minor details needed to be ironed out before the move is made official.
"I have been negotiating terms (with AC Milan) and we are entering the final stage. As I understand it, AC Milan are satisfied with the details put forward," Honda was quoted as saying.
However, CSKA club president Yevgeni Giner rubbished the player's claims and stressed that no agreement has been reached with Milan.
"I'm already sick and tired of the speculation around Honda," he told Russian daily Sport Express.
"We were waiting for the Italian side to understand they have to stop all this talk but unfortunately it did not happen.
"We expressed our position three weeks ago. We will not sell Honda to Milan. Neither for $5million (£3.2m) nor for 10. Period. Our club will never tolerate any disrespectful attitude from anybody.
"We were ready to meet their demands halfway in case Milan representatives acted in a civilised way. We were ready to study an official offer in case they produced it. But they decided to provoke Honda into a conflict with us."
Honda, who scored twice in CSKA's 3-0 Russian Super Cup win over Zenit St Petersburg last month, has been targeting a move to a top European club this summer.