"You've got to hand it to them that they changed their mind," he said on "Squawk on the Street."
Cramer made his remarks a day after country and pop singer Taylor Swift said in an open letter to the tech behemoth that she would be holding back her album, "1989," from Apple Music because of the company's refusal to pay artist royalties during its three-month free trial.
"Three months is a long time to go unpaid, and it is unfair to ask anyone to work for nothing," Swift said in the letter. "I hope that soon I can join them in the progression towards a streaming model that seems fair to those who create this music."
The company later said it would change its policy and would pay artists during the free-trial period.
"Taylor Swift may be more powerful in terms of the [corporate] power rankings [than people thought]," Cramer added. "She told the $750 billion company 'Here's the way it has to be.'"