Milan want to sign Honda this summer, despite his contract having less than six months to run.
"We've had better offers for Honda compared to the Milan one. Certainly more interesting and economically viable," said President Yevgeny Giner.
"The issue regards both the sum payable to CSKA and the player's wages. Milan are an important club and Adriano Galliani is an excellent director.
"However, they have to understand in Italy that they can't treat us like losers, nor will we let ourselves be conditioned by the newspapers.
"Honda has not lost any motivation. He is a CSKA player and has a contract with CSKA."