Yes, you can rotate with ESTA approval.
Many of our visitors have traveled to the U.S. for their rotation on the visa waiver program.
In order to travel without a visa on the Visa Waiver Program, you must have authorization through the Electronic System for Travel Authorization (ESTA). However, we cannot guarantee access to the U.S. Only the Customs and Border Protection officials at the port of entry have the authority to permit or deny entrance to the U.S.
Please review the government page closely to review the information for the Visa Waiver Program and to see if you are eligible: https://travel.state.gov/content/travel/en/us-visas/tourism-visit/visa-waiver-program.html
To apply for the ESTA, please use the following link: https://www.cbp.gov/travel/international-visitors/esta
You are required to upload proof of a valid waiver in place of a visa.