Disney, one of Florida’s largest private-sector employers, with nearly 80,000 workers, declined to comment on criticism from lawmakers. Inside the company, some executives have expressed disappointment that Disney has become politicized, said people familiar with their thinking.

This month, Rep. Jim Banks, a Republican from Indiana, sent a letter to Mr. Chapek saying he opposed extending the original copyright for Mickey Mouse, which is set to expire at the end of 2023. Certain Disney copyrights have been extended repeatedly in the past by acts of Congress.

Mr. Banks wrote that he now opposes further extensions because he objects to Disney’s investments in China and because the company has “capitulated to far-left activists” on LGBT issues. Two other U.S. House members have since voiced support for Mr. Banks’s letter.