In his first public comments on the issue, Beckham said he was disappointed Capello had quit the job so close to the European Championships, but said he respected his decision and believed the manager should always be allowed to choose the captain.
"I've been working with Fabio for quite a few years. It's sad, obviously that he stepped at a critical stage for England," Beckham told reporters after training with the LA Galaxy on Thursday.
"You know he's done it for his own reasons. You know he's a manager that I respect a lot, a person I respect a lot. I wish him all the best."
Capello's turbulent reign as England manager ended last week when he resigned after meeting with the FA, who stripped John Terry of the captaincy for allegedly racially abusing Queens Park Rangers' defender Anton Ferdinand.
Terry, who would have led England at this year's European Championships, denies the charge and Capello later expressed his frustration that the decision had been made without his consultation.
"Coach's call. You know I think that's always the case," Beckham said.
"Obviously a decision was taken... to take the captaincy away from John. Going forward, I'm sure the captain will be picked by whatever manager steps in."
"Harry's a great man, great manager. His man management is incredible," Beckham said.
"I know players, obviously, who have played under him. I've trained under him. He's not just a great manager but he's a great person as well."
