Beckham, who has been on loan to Italian giants AC Milan, revealed he would be seeking to talk to Donovan.
Beckham said: "It's unprofessional. In every football player's eyes throughout the world it would be unprofessional to speak out about a team-mate, especially in the press and not to your face.
"In 17 years, I have played with the biggest teams in the world and the biggest players and not once have I been criticised for my professionalism.
"It's important to get this cleared up."
Beckham, recently recalled to the England set-up by manager Fabio Capello, added: "Me and Landon will talk, but that will be a private conversation."